Atkin-Lehner |
2- 3+ 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
36498bg |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
10763698176 = 216 · 33 · 7 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3507,78321] |
[a1,a2,a3,a4,a6] |
j |
4770223741048753/10763698176 |
j-invariant |
L |
5.1350984465294 |
L(r)(E,1)/r! |
Ω |
1.2837746116279 |
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 |
109494y1 |
Quadratic twists by: -3 |