Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825bx |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
24330240 |
Modular degree for the optimal curve |
Δ |
4.4157011319185E+23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1064393338,13365869317667] |
[a1,a2,a3,a4,a6] |
j |
72547406094380206981321/240210178108425 |
j-invariant |
L |
2.4642146941616 |
L(r)(E,1)/r! |
Ω |
0.08214048882343 |
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 |
13965b1 9975b1 |
Quadratic twists by: 5 -7 |