Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
117670b |
Isogeny class |
Conductor |
117670 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6.7718675263974E+27 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -6 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1238936538,-16311894850132] |
[a1,a2,a3,a4,a6] |
Generators |
[-55764512033534175628153372598755953870:1920910117075948476544432930085673982733:2751138920167397637637043433843000] |
Generators of the group modulo torsion |
j |
44275936472333051117689/1425625035330125000 |
j-invariant |
L |
6.0384402240459 |
L(r)(E,1)/r! |
Ω |
0.025497285999327 |
Real period |
R |
59.206695462713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2870c4 |
Quadratic twists by: 41 |