Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520cv |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1074128861469081600 = 218 · 37 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47930403,127721703202] |
[a1,a2,a3,a4,a6] |
j |
4078208988807294650401/359723582400 |
j-invariant |
L |
1.6913484729894 |
L(r)(E,1)/r! |
Ω |
0.21141855924776 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190n3 21840cg4 |
Quadratic twists by: -4 -3 |