Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086n |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-53070016787587674 = -1 · 2 · 39 · 72 · 317 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 1 -5 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1989450,-1079619098] |
[a1,a2,a3,a4,a6] |
j |
-1345938541921/82026 |
j-invariant |
L |
0.50848163439819 |
L(r)(E,1)/r! |
Ω |
0.063560119291221 |
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 |
40362y1 3906j1 |
Quadratic twists by: -3 -31 |