Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920d |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
658560 |
Modular degree for the optimal curve |
Δ |
-126501542939842560 = -1 · 211 · 37 · 5 · 77 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 5 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-948176,356098656] |
[a1,a2,a3,a4,a6] |
j |
-46032132321966895778/61768331513595 |
j-invariant |
L |
1.975464955884 |
L(r)(E,1)/r! |
Ω |
0.32924415931495 |
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 |
15960o1 127680fv1 95760bk1 |
Quadratic twists by: -4 8 -3 |