Atkin-Lehner |
5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4025c |
Isogeny class |
Conductor |
4025 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
607776572265625 = 510 · 76 · 232 |
Discriminant |
Eigenvalues |
1 0 5+ 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66067,6444216] |
[a1,a2,a3,a4,a6] |
j |
2041085246738049/38897700625 |
j-invariant |
L |
1.5449880284496 |
L(r)(E,1)/r! |
Ω |
0.51499600948319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64400bj2 36225bx2 805c2 28175d2 |
Quadratic twists by: -4 -3 5 -7 |