Atkin-Lehner |
2- 5- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970cc |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-21307343750 = -1 · 2 · 57 · 72 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11- -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-680,-9850] |
[a1,a2,a3,a4,a6] |
j |
-709731835729/434843750 |
j-invariant |
L |
6.3667880263865 |
L(r)(E,1)/r! |
Ω |
0.45477061275234 |
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 |
123970u1 |
Quadratic twists by: -7 |