Atkin-Lehner |
2+ 3+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5106a |
Isogeny class |
Conductor |
5106 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
40848 = 24 · 3 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-54,132] |
[a1,a2,a3,a4,a6] |
j |
17923019113/40848 |
j-invariant |
L |
1.816431592103 |
L(r)(E,1)/r! |
Ω |
3.6328631842061 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40848j1 15318k1 127650de1 117438g1 |
Quadratic twists by: -4 -3 5 -23 |