Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376bq |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
-1.2409991505831E+23 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 1 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16849227,31558286842] |
[a1,a2,a3,a4,a6] |
Generators |
[-3249:228046:1] |
Generators of the group modulo torsion |
j |
-177164286626930705929/41560810459234304 |
j-invariant |
L |
7.3949931869745 |
L(r)(E,1)/r! |
Ω |
0.099695991374791 |
Real period |
R |
5.2982451128335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5922n1 5264h1 |
Quadratic twists by: -4 -3 |