Cremona's table of elliptic curves

7800 = 2³ · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 13-	Signs for the Atkin-Lehner involutions
Class	7800i	Isogeny class
Conductor	7800	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	-4691658348000000 = -1 · 28 · 35 · 56 · 136	Discriminant
Eigenvalues	2+ 3- 5+  0 -2 13- -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,14092,3236688]	[a1,a2,a3,a4,a6]
Generators	[52:2028:1]	Generators of the group modulo torsion
j	77366117936/1172914587	j-invariant
L	5.0624314832538	L(r)(E,1)/r!
Ω	0.3223638223448	Real period
R	0.5234697705252	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15600h2 62400c2 23400bm2 312e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7800i2

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
+	-	+	0	-2	-	-2	8	-4	-6	-4	-6	-12	-4	6	2	-14	10	4	2	2	-8	-14	0	10

---

Quadratic twists for elliptic curve 7800i2

-4	8	-3	5	13
15600h2	62400c2	23400bm2	312e2	101400cw2

---

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