Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ce |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-3.6085316758733E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -3 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1140243,-550598958] |
[a1,a2,a3,a4,a6] |
j |
-1817378667/400000 |
j-invariant |
L |
0.86642502726035 |
L(r)(E,1)/r! |
Ω |
0.072202034617661 |
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 |
15210b1 121680cq1 121680cr1 |
Quadratic twists by: -4 -3 13 |