Atkin-Lehner |
2- 3- 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120060l |
Isogeny class |
Conductor |
120060 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
787968 |
Modular degree for the optimal curve |
Δ |
222240280608000 = 28 · 39 · 53 · 233 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 6 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80472,-8757164] |
[a1,a2,a3,a4,a6] |
Generators |
[-54229:40095:343] |
Generators of the group modulo torsion |
j |
308809465667584/1190845125 |
j-invariant |
L |
10.516077320329 |
L(r)(E,1)/r! |
Ω |
0.28352351657839 |
Real period |
R |
6.1817783672227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40020e1 |
Quadratic twists by: -3 |