Atkin-Lehner |
2+ 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37224k |
Isogeny class |
Conductor |
37224 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6.2617897881332E+22 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31947843,68453422990] |
[a1,a2,a3,a4,a6] |
j |
4830819956736129020164/83882429217747963 |
j-invariant |
L |
3.5444874070676 |
L(r)(E,1)/r! |
Ω |
0.11076523147058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74448b2 12408g2 |
Quadratic twists by: -4 -3 |