Atkin-Lehner |
2- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25760f |
Isogeny class |
Conductor |
25760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
7889000000 = 26 · 56 · 73 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2546,-50120] |
[a1,a2,a3,a4,a6] |
j |
28529194119616/123265625 |
j-invariant |
L |
0.67225437456872 |
L(r)(E,1)/r! |
Ω |
0.67225437456875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25760b1 51520u1 128800m1 |
Quadratic twists by: -4 8 5 |