Atkin-Lehner |
2+ 3+ 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
23478j |
Isogeny class |
Conductor |
23478 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
38456964 = 22 · 33 · 72 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 6 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1176,-16020] |
[a1,a2,a3,a4,a6] |
j |
180103676295817/38456964 |
j-invariant |
L |
1.6303663744577 |
L(r)(E,1)/r! |
Ω |
0.81518318722885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70434bs1 |
Quadratic twists by: -3 |