Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680do |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7547904 |
Modular degree for the optimal curve |
Δ |
-2.7785919437454E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20649603,36206265602] |
[a1,a2,a3,a4,a6] |
Generators |
[22562:160191:8] |
Generators of the group modulo torsion |
j |
-2365581049/6750 |
j-invariant |
L |
7.8118801979339 |
L(r)(E,1)/r! |
Ω |
0.14390576635161 |
Real period |
R |
6.7855865064063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999835348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15210j1 40560bs1 121680ey1 |
Quadratic twists by: -4 -3 13 |