Atkin-Lehner |
2- 3+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802bp |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
1063398251664 = 24 · 33 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63881,-6198279] |
[a1,a2,a3,a4,a6] |
j |
9075706699779/334768 |
j-invariant |
L |
1.2012077112269 |
L(r)(E,1)/r! |
Ω |
0.30030192802143 |
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 |
53802h1 7686l1 |
Quadratic twists by: -3 -7 |