Atkin-Lehner |
2- 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39480ba |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-614839806000 = -1 · 24 · 32 · 53 · 7 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1889,-19990] |
[a1,a2,a3,a4,a6] |
j |
46566079563776/38427487875 |
j-invariant |
L |
4.0492426500775 |
L(r)(E,1)/r! |
Ω |
0.50615533126533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960d1 118440bl1 |
Quadratic twists by: -4 -3 |