Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200d |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-10847520000000 = -1 · 211 · 37 · 57 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 3 6 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6408,255312] |
[a1,a2,a3,a4,a6] |
j |
-909513218/338985 |
j-invariant |
L |
2.7089573504109 |
L(r)(E,1)/r! |
Ω |
0.67723933760012 |
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 |
18600h1 111600bj1 7440f1 |
Quadratic twists by: -4 -3 5 |