Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654w |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
360448 |
Modular degree for the optimal curve |
Δ |
-1740504134170368 = -1 · 28 · 38 · 7 · 236 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19143,2256061] |
[a1,a2,a3,a4,a6] |
j |
-7189057/16128 |
j-invariant |
L |
1.6735788198776 |
L(r)(E,1)/r! |
Ω |
0.41839470702552 |
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 |
22218z1 126b1 |
Quadratic twists by: -3 -23 |