Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122018b |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
919296 |
Modular degree for the optimal curve |
Δ |
7761080704224016 = 24 · 134 · 198 |
Discriminant |
Eigenvalues |
2+ 0 3 -3 3 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72448,-6176208] |
[a1,a2,a3,a4,a6] |
Generators |
[-4596:31900:27] |
Generators of the group modulo torsion |
j |
86697/16 |
j-invariant |
L |
5.2965924390547 |
L(r)(E,1)/r! |
Ω |
0.29470592683305 |
Real period |
R |
2.9954110860504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069652 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122018u1 122018bd1 |
Quadratic twists by: 13 -19 |