Atkin-Lehner |
3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075bj |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
56700 |
Modular degree for the optimal curve |
Δ |
-10135546875 = -1 · 33 · 58 · 312 |
Discriminant |
Eigenvalues |
0 3- 5- 3 -2 3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2583,-51631] |
[a1,a2,a3,a4,a6] |
j |
-5079040/27 |
j-invariant |
L |
3.0125127934764 |
L(r)(E,1)/r! |
Ω |
0.33472364270845 |
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 |
72075d1 72075p1 |
Quadratic twists by: 5 -31 |