Atkin-Lehner |
2+ 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306k |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
84726810321303808 = 28 · 710 · 17 · 413 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 4 -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1183261,495512709] |
[a1,a2,a3,a4,a6] |
j |
1557318095658255897/720166004992 |
j-invariant |
L |
2.0163276669635 |
L(r)(E,1)/r! |
Ω |
0.33605460894855 |
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 |
9758a1 |
Quadratic twists by: -7 |