Atkin-Lehner |
2+ 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48314i |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3393600 |
Modular degree for the optimal curve |
Δ |
-2.0104187728823E+21 |
Discriminant |
Eigenvalues |
2+ -2 -1 7- -6 0 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2777091,-1216637992] |
[a1,a2,a3,a4,a6] |
Generators |
[312404:22799455:64] |
Generators of the group modulo torsion |
j |
48339058774879738197479/41028954548617609216 |
j-invariant |
L |
1.8602728885612 |
L(r)(E,1)/r! |
Ω |
0.081317208811851 |
Real period |
R |
11.43837150678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48314c1 |
Quadratic twists by: -7 |