Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440cv |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-4716361728000 = -1 · 214 · 311 · 53 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -3 13- 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3792,-137824] |
[a1,a2,a3,a4,a6] |
j |
-504871936/394875 |
j-invariant |
L |
1.7657378591977 |
L(r)(E,1)/r! |
Ω |
0.29428964320284 |
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 |
37440fw1 4680o1 12480i1 |
Quadratic twists by: -4 8 -3 |