Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296bk |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9.6167781492974E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-213175695,1101171663146] |
[a1,a2,a3,a4,a6] |
Generators |
[14541424421194570154687560197650:-4056925235408773374798156704087673:5459221525778248534614125000] |
Generators of the group modulo torsion |
j |
5740758548094154088194000/515302327101413952387 |
j-invariant |
L |
5.9564981495289 |
L(r)(E,1)/r! |
Ω |
0.058484223867314 |
Real period |
R |
50.923973643247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9324e2 12432v2 |
Quadratic twists by: -4 -3 |