Atkin-Lehner |
3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98397l |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3924480 |
Modular degree for the optimal curve |
Δ |
-6054706584459 = -1 · 33 · 13 · 297 |
Discriminant |
Eigenvalues |
-2 3+ -1 0 2 13- -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-29673003,62214320810] |
[a1,a2,a3,a4,a6] |
Generators |
[3132:-1262:1] [2610:1834217:8] |
Generators of the group modulo torsion |
j |
-179910479913725952/377 |
j-invariant |
L |
5.6660955840533 |
L(r)(E,1)/r! |
Ω |
0.34796298001698 |
Real period |
R |
2.0354520122921 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98397i1 3393a1 |
Quadratic twists by: -3 29 |