Atkin-Lehner |
3- 5- 41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
97785d |
Isogeny class |
Conductor |
97785 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
52473875625 = 36 · 54 · 41 · 532 |
Discriminant |
Eigenvalues |
1 3- 5- 2 2 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21519,-1209600] |
[a1,a2,a3,a4,a6] |
Generators |
[89844:3301233:64] |
Generators of the group modulo torsion |
j |
1511728472218609/71980625 |
j-invariant |
L |
9.1246500985052 |
L(r)(E,1)/r! |
Ω |
0.39417976662051 |
Real period |
R |
5.7871121654565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10865c1 |
Quadratic twists by: -3 |