Atkin-Lehner |
2- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
2960n |
Isogeny class |
Conductor |
2960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
77594624000 = 224 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 2 5- -2 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1200,9152] |
[a1,a2,a3,a4,a6] |
j |
46694890801/18944000 |
j-invariant |
L |
2.9570863233154 |
L(r)(E,1)/r! |
Ω |
0.98569544110514 |
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 |
370d1 11840z1 26640bg1 14800q1 |
Quadratic twists by: -4 8 -3 5 |