Atkin-Lehner |
2+ 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25160a |
Isogeny class |
Conductor |
25160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-163126973440 = -1 · 210 · 5 · 17 · 374 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1357,-2722] |
[a1,a2,a3,a4,a6] |
Generators |
[34:447:8] |
Generators of the group modulo torsion |
j |
269875399644/159303685 |
j-invariant |
L |
3.0110148098304 |
L(r)(E,1)/r! |
Ω |
0.59879767906732 |
Real period |
R |
5.0284343361523 |
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 |
50320a3 125800n3 |
Quadratic twists by: -4 5 |