Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450cx |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
1020 |
Product of Tamagawa factors cp |
deg |
881280 |
Modular degree for the optimal curve |
Δ |
-1.9568424514712E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,329932,199968912] |
[a1,a2,a3,a4,a6] |
Generators |
[2536:-132980:1] |
Generators of the group modulo torsion |
j |
158875503607483454615/782736980588494848 |
j-invariant |
L |
10.010973151376 |
L(r)(E,1)/r! |
Ω |
0.15577890643645 |
Real period |
R |
0.06300390588617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350bw1 30450s1 |
Quadratic twists by: -3 5 |