Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450h |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
3853828125000 = 23 · 35 · 510 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9075,-322875] |
[a1,a2,a3,a4,a6] |
Generators |
[-6245:14936:125] |
Generators of the group modulo torsion |
j |
8465221825/394632 |
j-invariant |
L |
3.5346025129062 |
L(r)(E,1)/r! |
Ω |
0.49055075438912 |
Real period |
R |
7.2053757562923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350ej1 30450da1 |
Quadratic twists by: -3 5 |