Atkin-Lehner |
2+ 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128l |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-6375427688448 = -1 · 211 · 35 · 73 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34328,-2462544] |
[a1,a2,a3,a4,a6] |
j |
-2184499329043250/3113001801 |
j-invariant |
L |
2.6303318188782 |
L(r)(E,1)/r! |
Ω |
0.17535545459293 |
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 |
74256d1 111384bz1 |
Quadratic twists by: -4 -3 |