Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
95304p |
Isogeny class |
Conductor |
95304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
1158945545438208 = 210 · 37 · 11 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 11+ 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2893896,1895804028] |
[a1,a2,a3,a4,a6] |
Generators |
[659865623740:-1914493215827:636056000] |
Generators of the group modulo torsion |
j |
55635379958596/24057 |
j-invariant |
L |
6.3225219887669 |
L(r)(E,1)/r! |
Ω |
0.39722001650657 |
Real period |
R |
15.916926940956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
264d1 |
Quadratic twists by: -19 |