Atkin-Lehner |
2- 3- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
72624w |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1195200 |
Modular degree for the optimal curve |
Δ |
-2287207393283321856 = -1 · 212 · 315 · 173 · 892 |
Discriminant |
Eigenvalues |
2- 3- 1 4 1 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28965,72778131] |
[a1,a2,a3,a4,a6] |
j |
-656144293851136/558400242500811 |
j-invariant |
L |
6.28146124145 |
L(r)(E,1)/r! |
Ω |
0.20938204091052 |
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 |
4539b1 |
Quadratic twists by: -4 |