Cremona's table of elliptic curves

69696 = 2⁶ · 3² · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 11-	Signs for the Atkin-Lehner involutions
Class	69696cn	Isogeny class
Conductor	69696	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	4.5732703447359E+21	Discriminant
Eigenvalues	2+ 3-  2 -4 11- -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-85387764,303680321120]	[a1,a2,a3,a4,a6]
Generators	[35344370:-154432240:6859]	Generators of the group modulo torsion
j	13015685560572352/864536409	j-invariant
L	6.3367694873438	L(r)(E,1)/r!
Ω	0.13063850956045	Real period
R	12.126534335106	Regulator
r	1	Rank of the group of rational points
S	1.0000000001036	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	69696ck2 34848bb1 23232v2 6336n2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 69696cn2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	2	-4	-	-2	2	4	0	6	4	2	-6	-4	8	-6	12	-10	-4	0	-10	-12	-12	-10	18

---

Quadratic twists for elliptic curve 69696cn2

-4	8	-3	-11
69696ck2	34848bb1	23232v2	6336n2

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations