Atkin-Lehner |
2- 7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25172j |
Isogeny class |
Conductor |
25172 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
68198819385088 = 28 · 73 · 292 · 314 |
Discriminant |
Eigenvalues |
2- 0 2 7- 2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11119,-213978] |
[a1,a2,a3,a4,a6] |
Generators |
[-638:3255:8] |
Generators of the group modulo torsion |
j |
593855711204688/266401638223 |
j-invariant |
L |
6.6840795477526 |
L(r)(E,1)/r! |
Ω |
0.48482640850857 |
Real period |
R |
2.2977569670466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100688t2 |
Quadratic twists by: -4 |