Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26928v |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
16018497792 = 28 · 39 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 11- 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-687,3310] |
[a1,a2,a3,a4,a6] |
j |
192143824/85833 |
j-invariant |
L |
2.22685651379 |
L(r)(E,1)/r! |
Ω |
1.1134282568949 |
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 |
13464q1 107712ef1 8976h1 |
Quadratic twists by: -4 8 -3 |