Atkin-Lehner |
2- 5+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970u |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
658560 |
Modular degree for the optimal curve |
Δ |
-2506787684843750 = -1 · 2 · 57 · 78 · 112 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33321,3345229] |
[a1,a2,a3,a4,a6] |
j |
-709731835729/434843750 |
j-invariant |
L |
2.5403010302923 |
L(r)(E,1)/r! |
Ω |
0.42338338460879 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123970cc1 |
Quadratic twists by: -7 |