Atkin-Lehner |
2- 3+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
25584s |
Isogeny class |
Conductor |
25584 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-350219376 = -1 · 24 · 35 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 5 -2 13- -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,110,-821] |
[a1,a2,a3,a4,a6] |
j |
9116489984/21888711 |
j-invariant |
L |
2.6437460925098 |
L(r)(E,1)/r! |
Ω |
0.88124869750321 |
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 |
6396g1 102336cg1 76752cg1 |
Quadratic twists by: -4 8 -3 |