Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29520c |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
913920 |
Modular degree for the optimal curve |
Δ |
-2.4533429585918E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -5 4 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3048732,2062741356] |
[a1,a2,a3,a4,a6] |
j |
-621942452665039872/4868856847025 |
j-invariant |
L |
0.85523385149089 |
L(r)(E,1)/r! |
Ω |
0.2138084628726 |
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 |
14760b1 118080dd1 29520b1 |
Quadratic twists by: -4 8 -3 |