Atkin-Lehner |
3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72075o |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
146103908203125 = 34 · 59 · 314 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 -3 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-80083,-8676807] |
[a1,a2,a3,a4,a6] |
j |
31490048/81 |
j-invariant |
L |
1.1353797511659 |
L(r)(E,1)/r! |
Ω |
0.2838449391272 |
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 |
72075bf1 72075bi1 |
Quadratic twists by: 5 -31 |