Atkin-Lehner |
3+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25143j |
Isogeny class |
Conductor |
25143 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19152 |
Modular degree for the optimal curve |
Δ |
-153617419107 = -1 · 37 · 174 · 292 |
Discriminant |
Eigenvalues |
1 3+ 0 -1 -4 1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1595,30276] |
[a1,a2,a3,a4,a6] |
Generators |
[0:174:1] |
Generators of the group modulo torsion |
j |
-5378181625/1839267 |
j-invariant |
L |
4.1509770314558 |
L(r)(E,1)/r! |
Ω |
0.9682640368204 |
Real period |
R |
2.1435150297882 |
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 |
75429w1 25143n1 |
Quadratic twists by: -3 17 |