Atkin-Lehner |
3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25143s |
Isogeny class |
Conductor |
25143 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8352 |
Modular degree for the optimal curve |
Δ |
21798981 = 32 · 174 · 29 |
Discriminant |
Eigenvalues |
-2 3- -1 -3 -2 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-96,254] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:25:1] |
Generators of the group modulo torsion |
j |
1183744/261 |
j-invariant |
L |
2.0533688298586 |
L(r)(E,1)/r! |
Ω |
2.0264804020248 |
Real period |
R |
0.16887808930589 |
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 |
75429x1 25143f1 |
Quadratic twists by: -3 17 |