Atkin-Lehner |
3+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
69531c |
Isogeny class |
Conductor |
69531 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
633528 |
Modular degree for the optimal curve |
Δ |
-53670637433259 = -1 · 39 · 78 · 11 · 43 |
Discriminant |
Eigenvalues |
-2 3+ -1 7+ 11- -4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-485116,130214160] |
[a1,a2,a3,a4,a6] |
j |
-2190166254997504/9310059 |
j-invariant |
L |
0.55498136153005 |
L(r)(E,1)/r! |
Ω |
0.55498139162978 |
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 |
69531n1 |
Quadratic twists by: -7 |