Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400ca |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
236390625000000 = 26 · 32 · 512 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128158,17686312] |
[a1,a2,a3,a4,a6] |
Generators |
[20964:209797:64] |
Generators of the group modulo torsion |
j |
232789970236096/236390625 |
j-invariant |
L |
7.1057686686931 |
L(r)(E,1)/r! |
Ω |
0.55420422219306 |
Real period |
R |
6.410785388027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013309 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98400cr1 19680j1 |
Quadratic twists by: -4 5 |