Atkin-Lehner |
2+ 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306n |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
528384 |
Modular degree for the optimal curve |
Δ |
1890885927103012 = 22 · 714 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- 0 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-79144,-8290836] |
[a1,a2,a3,a4,a6] |
j |
466007114306889/16072265188 |
j-invariant |
L |
0.57048443974909 |
L(r)(E,1)/r! |
Ω |
0.28524221488054 |
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 |
9758b1 |
Quadratic twists by: -7 |