Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200w |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
209250000 = 24 · 33 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6983,222288] |
[a1,a2,a3,a4,a6] |
Generators |
[64:204:1] |
Generators of the group modulo torsion |
j |
150651000832/837 |
j-invariant |
L |
6.4968106921694 |
L(r)(E,1)/r! |
Ω |
1.5799734215238 |
Real period |
R |
2.7413164481819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18600p1 111600bh1 1488c1 |
Quadratic twists by: -4 -3 5 |