Atkin-Lehner |
3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20181d |
Isogeny class |
Conductor |
20181 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-55912731903 = -1 · 32 · 7 · 316 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,941,2840] |
[a1,a2,a3,a4,a6] |
j |
103823/63 |
j-invariant |
L |
0.68644779348402 |
L(r)(E,1)/r! |
Ω |
0.68644779348403 |
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 |
60543g1 21a4 |
Quadratic twists by: -3 -31 |