Cremona's table of elliptic curves

97344 = 2⁶ · 3² · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 13+	Signs for the Atkin-Lehner involutions
Class	97344fo	Isogeny class
Conductor	97344	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	7.9035504177647E+19	Discriminant
Eigenvalues	2- 3- -2 -4  4 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1900236,913002896]	[a1,a2,a3,a4,a6]
Generators	[-286:37856:1]	Generators of the group modulo torsion
j	822656953/85683	j-invariant
L	4.07533675396	L(r)(E,1)/r!
Ω	0.18720793354477	Real period
R	2.7211298404721	Regulator
r	1	Rank of the group of rational points
S	0.99999999981002	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	97344cg3 24336bt3 32448ch3 7488bs4	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 97344fo3

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

---

Quadratic twists for elliptic curve 97344fo3

-4	8	-3	13
97344cg3	24336bt3	32448ch3	7488bs4

---

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