Atkin-Lehner |
2+ 3+ 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150f |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-460121617800 = -1 · 23 · 314 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -4 13+ -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-715,-33755] |
[a1,a2,a3,a4,a6] |
j |
-1620505664545/18404864712 |
j-invariant |
L |
0.79748070280417 |
L(r)(E,1)/r! |
Ω |
0.39874034948797 |
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 |
72150cz1 |
Quadratic twists by: 5 |