Atkin-Lehner |
2- 3+ 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
34314q |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
1.4342132464033E+24 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-48158173,-115026871885] |
[a1,a2,a3,a4,a6] |
j |
12351898670734712430125772625/1434213246403322057745408 |
j-invariant |
L |
2.887210223863 |
L(r)(E,1)/r! |
Ω |
0.057744204477321 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942t1 |
Quadratic twists by: -3 |