Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600df |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-2306867200000000 = -1 · 229 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11- -3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-328833,72725537] |
[a1,a2,a3,a4,a6] |
j |
-38401771585/22528 |
j-invariant |
L |
2.7317575650572 |
L(r)(E,1)/r! |
Ω |
0.45529292750953 |
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 |
17600ba1 4400z1 17600cn1 |
Quadratic twists by: -4 8 5 |