Atkin-Lehner |
2+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
46256r |
Isogeny class |
Conductor |
46256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-1776970496 = -1 · 28 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ -1 1 7- -4 -2 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13540,-601936] |
[a1,a2,a3,a4,a6] |
Generators |
[65128:654116:343] |
Generators of the group modulo torsion |
j |
-9115564624/59 |
j-invariant |
L |
3.8711098860086 |
L(r)(E,1)/r! |
Ω |
0.22129013380683 |
Real period |
R |
8.746684317564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23128g1 944b1 |
Quadratic twists by: -4 -7 |