Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440r |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-9.35444495232E+18 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60048,-147043296] |
[a1,a2,a3,a4,a6] |
j |
74251994112/29007265625 |
j-invariant |
L |
1.5124920557518 |
L(r)(E,1)/r! |
Ω |
0.10803514684026 |
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 |
37440dj1 4680l1 37440d1 |
Quadratic twists by: -4 8 -3 |