Atkin-Lehner |
2- 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72670w |
Isogeny class |
Conductor |
72670 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3841344 |
Modular degree for the optimal curve |
Δ |
-6745055453192888000 = -1 · 26 · 53 · 139 · 433 |
Discriminant |
Eigenvalues |
2- -1 5- 0 0 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-34087050,-76614917033] |
[a1,a2,a3,a4,a6] |
j |
-413049209286880837/636056000 |
j-invariant |
L |
1.1246688394045 |
L(r)(E,1)/r! |
Ω |
0.031240801283909 |
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 |
72670e1 |
Quadratic twists by: 13 |