Atkin-Lehner |
2- 3+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
123114q |
Isogeny class |
Conductor |
123114 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
57995863042203648 = 213 · 35 · 177 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 -3 -1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-118207,10460069] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:4674:1] |
Generators of the group modulo torsion |
j |
7567631909137/2402721792 |
j-invariant |
L |
9.0771166875181 |
L(r)(E,1)/r! |
Ω |
0.32544816948476 |
Real period |
R |
1.072735696598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000010879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7242j1 |
Quadratic twists by: 17 |