Atkin-Lehner |
2+ 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840q |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
210886621440 = 28 · 3 · 5 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2036,26940] |
[a1,a2,a3,a4,a6] |
Generators |
[282:117:8] |
Generators of the group modulo torsion |
j |
3647794448464/823775865 |
j-invariant |
L |
4.8230283098898 |
L(r)(E,1)/r! |
Ω |
0.94212155090523 |
Real period |
R |
5.1193270117564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920w2 |
Quadratic twists by: -4 |