Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bx |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-175655688549120 = -1 · 28 · 37 · 5 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -1 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-525252,-146522324] |
[a1,a2,a3,a4,a6] |
Generators |
[95225:29384199:1] |
Generators of the group modulo torsion |
j |
-17790954496/195 |
j-invariant |
L |
5.3416074945537 |
L(r)(E,1)/r! |
Ω |
0.08867012990492 |
Real period |
R |
7.5301675774097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60840cb1 40560u1 9360p1 |
Quadratic twists by: -4 -3 13 |