Atkin-Lehner |
3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
26979a |
Isogeny class |
Conductor |
26979 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
83904 |
Modular degree for the optimal curve |
Δ |
91858785734613 = 3 · 17 · 239 |
Discriminant |
Eigenvalues |
0 3+ 0 1 4 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-81113,8906807] |
[a1,a2,a3,a4,a6] |
j |
32768000/51 |
j-invariant |
L |
1.2042395247484 |
L(r)(E,1)/r! |
Ω |
0.60211976237418 |
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 |
80937m1 26979d1 |
Quadratic twists by: -3 -23 |