Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ii |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-303933691293750000 = -1 · 24 · 310 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-312375,72244375] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:11025:1] |
Generators of the group modulo torsion |
j |
-6288640/567 |
j-invariant |
L |
7.2098959045438 |
L(r)(E,1)/r! |
Ω |
0.29985309658256 |
Real period |
R |
1.0018650217658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400ch1 88200ck1 12600cn1 |
Quadratic twists by: -3 5 -7 |