Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376bw |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1.5825175115532E+26 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-826634451,9127791523730] |
[a1,a2,a3,a4,a6] |
Generators |
[8018:1736462:1] |
Generators of the group modulo torsion |
j |
20920725399680491448386513/52998191268045520896 |
j-invariant |
L |
5.4750504158534 |
L(r)(E,1)/r! |
Ω |
0.05774464202697 |
Real period |
R |
4.7407432305926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5922c2 15792s2 |
Quadratic twists by: -4 -3 |