Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450cv |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
693 |
Product of Tamagawa factors cp |
deg |
1796256 |
Modular degree for the optimal curve |
Δ |
1.2168730663579E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9807958,11809945892] |
[a1,a2,a3,a4,a6] |
Generators |
[-2704:137594:1] |
Generators of the group modulo torsion |
j |
4173683366137838687913865/4867492265431713792 |
j-invariant |
L |
10.7936519351 |
L(r)(E,1)/r! |
Ω |
0.18549557870948 |
Real period |
R |
0.083965641801086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350bu1 30450q1 |
Quadratic twists by: -3 5 |