Atkin-Lehner |
2+ 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802d |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-289293929035776 = -1 · 211 · 39 · 76 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 2 2 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13809,525293] |
[a1,a2,a3,a4,a6] |
j |
125751501/124928 |
j-invariant |
L |
1.4423833841203 |
L(r)(E,1)/r! |
Ω |
0.36059584644038 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53802bj1 1098b1 |
Quadratic twists by: -3 -7 |