Atkin-Lehner |
2- 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
31312t |
Isogeny class |
Conductor |
31312 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4416 |
Modular degree for the optimal curve |
Δ |
31312 = 24 · 19 · 103 |
Discriminant |
Eigenvalues |
2- 3 0 3 6 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40,-97] |
[a1,a2,a3,a4,a6] |
j |
442368000/1957 |
j-invariant |
L |
7.5955661322869 |
L(r)(E,1)/r! |
Ω |
1.8988915330721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7828b1 125248bd1 |
Quadratic twists by: -4 8 |