Atkin-Lehner |
2- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21142c |
Isogeny class |
Conductor |
21142 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
Δ |
-3.324086698196E+19 |
Discriminant |
Eigenvalues |
2- 0 0 2 11- -5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2690500,-1720453059] |
[a1,a2,a3,a4,a6] |
Generators |
[157620:5115363:64] |
Generators of the group modulo torsion |
j |
-2525393156625/38974342 |
j-invariant |
L |
7.8265759474194 |
L(r)(E,1)/r! |
Ω |
0.05888613454945 |
Real period |
R |
6.3290636341783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21142a2 |
Quadratic twists by: -31 |