Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
72324j |
Isogeny class |
Conductor |
72324 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8432640 |
Modular degree for the optimal curve |
Δ |
-3.7078129874838E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-365998584,-2695052607212] |
[a1,a2,a3,a4,a6] |
j |
-592923077334706559623168/40546581793227 |
j-invariant |
L |
3.3826399764412 |
L(r)(E,1)/r! |
Ω |
0.017258367234282 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24108m1 72324e1 |
Quadratic twists by: -3 -7 |