Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680ct |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-270808472407244800 = -1 · 228 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 -2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-222721,47651745] |
[a1,a2,a3,a4,a6] |
Generators |
[-537:3480:1] |
Generators of the group modulo torsion |
j |
-115501303/25600 |
j-invariant |
L |
6.1806602130055 |
L(r)(E,1)/r! |
Ω |
0.29590477159303 |
Real period |
R |
5.2218321621949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15680v1 3920bh1 78400it1 15680dt1 |
Quadratic twists by: -4 8 5 -7 |