Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200im |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
2680191281250000 = 24 · 36 · 59 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36750,-1071875] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:869:1] |
Generators of the group modulo torsion |
j |
2048 |
j-invariant |
L |
7.1265309053946 |
L(r)(E,1)/r! |
Ω |
0.36226535658618 |
Real period |
R |
4.9180323027761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9800u1 88200eb1 1800w1 |
Quadratic twists by: -3 5 -7 |