Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121104y |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
394240 |
Modular degree for the optimal curve |
Δ |
-50393590966512 = -1 · 24 · 317 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 0 5 -1 -3 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21315,1245521] |
[a1,a2,a3,a4,a6] |
Generators |
[112:513:1] |
Generators of the group modulo torsion |
j |
-3764768000/177147 |
j-invariant |
L |
8.9513528137896 |
L(r)(E,1)/r! |
Ω |
0.62701789571739 |
Real period |
R |
3.5690180538412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60552k1 40368i1 121104x1 |
Quadratic twists by: -4 -3 29 |