Atkin-Lehner |
2- 3+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
49776i |
Isogeny class |
Conductor |
49776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-3289994496 = -1 · 28 · 36 · 172 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 5 5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,220,-2532] |
[a1,a2,a3,a4,a6] |
j |
4579058864/12851541 |
j-invariant |
L |
2.9055362840201 |
L(r)(E,1)/r! |
Ω |
0.72638407099701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12444b1 |
Quadratic twists by: -4 |