Atkin-Lehner |
2- 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49104bi |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-659806912512 = -1 · 215 · 310 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 11+ 4 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,501,38842] |
[a1,a2,a3,a4,a6] |
j |
4657463/220968 |
j-invariant |
L |
2.7597647652566 |
L(r)(E,1)/r! |
Ω |
0.68994119110097 |
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 |
6138o1 16368bb1 |
Quadratic twists by: -4 -3 |