Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080gd |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-686199170116800 = -1 · 26 · 321 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -1 -2 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21342,1740274] |
[a1,a2,a3,a4,a6] |
Generators |
[4354:98415:8] |
Generators of the group modulo torsion |
j |
-23042073442816/14707629675 |
j-invariant |
L |
6.5659833388385 |
L(r)(E,1)/r! |
Ω |
0.4710127719542 |
Real period |
R |
1.742517331351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999870478 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080fy1 59040bp1 39360ck1 |
Quadratic twists by: -4 8 -3 |