Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350i |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
678770015625000000 = 26 · 32 · 512 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1409125,-643197875] |
[a1,a2,a3,a4,a6] |
Generators |
[-5602:9899:8] |
Generators of the group modulo torsion |
j |
4102915888729/9000000 |
j-invariant |
L |
2.235723856419 |
L(r)(E,1)/r! |
Ω |
0.13858600423059 |
Real period |
R |
4.0330981992579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76050fb6 5070v6 150c6 |
Quadratic twists by: -3 5 13 |