Atkin-Lehner |
3- 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
45135i |
Isogeny class |
Conductor |
45135 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-23986589535 = -1 · 314 · 5 · 17 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,697,2126] |
[a1,a2,a3,a4,a6] |
Generators |
[46:337:1] |
Generators of the group modulo torsion |
j |
51437343959/32903415 |
j-invariant |
L |
3.0851716268715 |
L(r)(E,1)/r! |
Ω |
0.74639840890916 |
Real period |
R |
4.1334113123001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15045g1 |
Quadratic twists by: -3 |