Atkin-Lehner |
2+ 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350x |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
874368 |
Modular degree for the optimal curve |
Δ |
20948708229120000 = 223 · 39 · 54 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-139767,-18833059] |
[a1,a2,a3,a4,a6] |
Generators |
[-3358775:19105093:15625] |
Generators of the group modulo torsion |
j |
24545285075475/1702887424 |
j-invariant |
L |
5.0895877713158 |
L(r)(E,1)/r! |
Ω |
0.24799398244832 |
Real period |
R |
10.261514658863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350ds1 91350dq1 |
Quadratic twists by: -3 5 |