Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760c |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-7572221167277168640 = -1 · 211 · 39 · 5 · 711 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264843,142409178] |
[a1,a2,a3,a4,a6] |
j |
-50964522954966/187846040585 |
j-invariant |
L |
0.820556998041 |
L(r)(E,1)/r! |
Ω |
0.20513921446535 |
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 |
47880t1 95760l1 |
Quadratic twists by: -4 -3 |