Atkin-Lehner |
2+ 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12078l |
Isogeny class |
Conductor |
12078 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
413440 |
Modular degree for the optimal curve |
Δ |
-7.4518450265949E+19 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 11- -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1032714,-96839564] |
[a1,a2,a3,a4,a6] |
Generators |
[1269205:127885546:125] |
Generators of the group modulo torsion |
j |
167084491388439286943/102220096386760704 |
j-invariant |
L |
2.7729121970957 |
L(r)(E,1)/r! |
Ω |
0.11227688048194 |
Real period |
R |
6.1742724441422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96624bi1 4026g1 |
Quadratic twists by: -4 -3 |