Atkin-Lehner |
2- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119548d |
Isogeny class |
Conductor |
119548 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
234432 |
Modular degree for the optimal curve |
Δ |
16095779656528 = 24 · 118 · 13 · 192 |
Discriminant |
Eigenvalues |
2- -1 0 -2 11- 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35493,-2554682] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:19:1] |
Generators of the group modulo torsion |
j |
1441792000/4693 |
j-invariant |
L |
4.3589637439244 |
L(r)(E,1)/r! |
Ω |
0.34789473013386 |
Real period |
R |
2.0882580577248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997780944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119548m1 |
Quadratic twists by: -11 |