Atkin-Lehner |
2- 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98394bn |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-255037248 = -1 · 26 · 35 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 -4 -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-770,8196] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-56:1] [-24:126:1] |
Generators of the group modulo torsion |
j |
-95449897489/482112 |
j-invariant |
L |
14.505692094915 |
L(r)(E,1)/r! |
Ω |
1.7591843853877 |
Real period |
R |
0.27485639018676 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98394bm1 |
Quadratic twists by: -23 |