Atkin-Lehner |
2+ 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25584d |
Isogeny class |
Conductor |
25584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
842240 |
Modular degree for the optimal curve |
Δ |
-18724896399336192 = -1 · 28 · 37 · 138 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 -1 13- 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6496521,6375543093] |
[a1,a2,a3,a4,a6] |
j |
-118447624049664483810304/73144126559907 |
j-invariant |
L |
2.5531949118496 |
L(r)(E,1)/r! |
Ω |
0.3191493639812 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12792h1 102336ce1 76752t1 |
Quadratic twists by: -4 8 -3 |