Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200bc |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
21892781250000 = 24 · 36 · 59 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29083,-1905412] |
[a1,a2,a3,a4,a6] |
j |
87057508352/700569 |
j-invariant |
L |
2.1945755048848 |
L(r)(E,1)/r! |
Ω |
0.36576258415302 |
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 |
18600v1 111600ce1 37200m1 |
Quadratic twists by: -4 -3 5 |