Atkin-Lehner |
2- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31654s |
Isogeny class |
Conductor |
31654 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-369155038957642 = -1 · 2 · 711 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 0 2 7- -2 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31639,2363001] |
[a1,a2,a3,a4,a6] |
j |
-29770823556657/3137766058 |
j-invariant |
L |
3.1369260473425 |
L(r)(E,1)/r! |
Ω |
0.52282100789135 |
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 |
4522g1 |
Quadratic twists by: -7 |