Atkin-Lehner |
2- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
55616w |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
2505834496 = 218 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 1 -1 5 11+ -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8801,-320737] |
[a1,a2,a3,a4,a6] |
Generators |
[-3484:187:64] |
Generators of the group modulo torsion |
j |
287626699801/9559 |
j-invariant |
L |
7.3846369037327 |
L(r)(E,1)/r! |
Ω |
0.49290509048204 |
Real period |
R |
3.7454659356467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55616k1 13904k1 |
Quadratic twists by: -4 8 |