Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15582j |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-68987235211776 = -1 · 29 · 32 · 710 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -1 -2 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1824933,-949047536] |
[a1,a2,a3,a4,a6] |
Generators |
[132375543850:-10367094917787:20796875] |
Generators of the group modulo torsion |
j |
-5713153642029363769/586381824 |
j-invariant |
L |
4.5755084667565 |
L(r)(E,1)/r! |
Ω |
0.064946814347678 |
Real period |
R |
17.612520770698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656cb1 46746br1 2226a1 |
Quadratic twists by: -4 -3 -7 |