Atkin-Lehner |
2+ 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350cq |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
4661590500 = 22 · 38 · 53 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1422,20736] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:204:1] [-21:213:1] |
Generators of the group modulo torsion |
j |
3491055413/51156 |
j-invariant |
L |
8.2052191565891 |
L(r)(E,1)/r! |
Ω |
1.3770954050316 |
Real period |
R |
0.74479399965789 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30450dh1 91350fc1 |
Quadratic twists by: -3 5 |