Atkin-Lehner |
3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80937b |
Isogeny class |
Conductor |
80937 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
278256 |
Modular degree for the optimal curve |
Δ |
-49534436854179 = -1 · 39 · 17 · 236 |
Discriminant |
Eigenvalues |
2 3+ -1 2 -3 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14283,739145] |
[a1,a2,a3,a4,a6] |
j |
-110592/17 |
j-invariant |
L |
1.2247179197248 |
L(r)(E,1)/r! |
Ω |
0.61235896103023 |
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 |
80937d1 153d1 |
Quadratic twists by: -3 -23 |