Atkin-Lehner |
2- 3- 5+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
120870u |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
33835864320 = 28 · 39 · 5 · 17 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34043,2426091] |
[a1,a2,a3,a4,a6] |
j |
5985048833061481/46414080 |
j-invariant |
L |
4.1786173347682 |
L(r)(E,1)/r! |
Ω |
1.0446545941698 |
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 |
40290l1 |
Quadratic twists by: -3 |