Atkin-Lehner |
2- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37312u |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-2311553024 = -1 · 215 · 113 · 53 |
Discriminant |
Eigenvalues |
2- 3 -1 -4 11+ -3 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-268,2864] |
[a1,a2,a3,a4,a6] |
j |
-64964808/70543 |
j-invariant |
L |
2.6450414541116 |
L(r)(E,1)/r! |
Ω |
1.322520727045 |
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 |
37312bf1 18656d1 |
Quadratic twists by: -4 8 |