Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81900j |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2787398932500000000 = 28 · 36 · 510 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6015000,5677512500] |
[a1,a2,a3,a4,a6] |
Generators |
[221516864:9073788199:262144] |
Generators of the group modulo torsion |
j |
13205749964800/1529437 |
j-invariant |
L |
6.0954302621601 |
L(r)(E,1)/r! |
Ω |
0.24504775047224 |
Real period |
R |
12.437229580993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9100b2 81900bn2 |
Quadratic twists by: -3 5 |