Atkin-Lehner |
2+ 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
50320a |
Isogeny class |
Conductor |
50320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
6290000 = 24 · 54 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-218,-1233] |
[a1,a2,a3,a4,a6] |
Generators |
[-10215345:2185084:1157625] |
Generators of the group modulo torsion |
j |
71609923584/393125 |
j-invariant |
L |
6.7823694111504 |
L(r)(E,1)/r! |
Ω |
1.242879379391 |
Real period |
R |
10.913962406362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25160a1 |
Quadratic twists by: -4 |