Atkin-Lehner |
2- 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
88396j |
Isogeny class |
Conductor |
88396 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
11938856752592 = 24 · 79 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 2 -4 7- 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5945,-57154] |
[a1,a2,a3,a4,a6] |
Generators |
[-296748496:-1742943867:5451776] |
Generators of the group modulo torsion |
j |
35995648/18491 |
j-invariant |
L |
6.8587180471996 |
L(r)(E,1)/r! |
Ω |
0.57462183016543 |
Real period |
R |
11.936055474188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88396h1 |
Quadratic twists by: -7 |