Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350cq |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
15662029843200 = 28 · 3 · 52 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 3 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53323,-4739983] |
[a1,a2,a3,a4,a6] |
Generators |
[-3678:2515:27] |
Generators of the group modulo torsion |
j |
822206905/768 |
j-invariant |
L |
10.466181609754 |
L(r)(E,1)/r! |
Ω |
0.31419207220176 |
Real period |
R |
1.387975506035 |
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 |
76050z1 25350l1 25350y1 |
Quadratic twists by: -3 5 13 |