Atkin-Lehner |
2+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570b |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1086059296624640 = 212 · 5 · 133 · 176 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 6 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59973,-5451187] |
[a1,a2,a3,a4,a6] |
j |
988345570681/44994560 |
j-invariant |
L |
3.6712413825638 |
L(r)(E,1)/r! |
Ω |
0.30593678188067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
130a3 |
Quadratic twists by: 17 |