Atkin-Lehner |
2- 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760cr |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
6113318400000000 = 215 · 33 · 58 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112227,13973346] |
[a1,a2,a3,a4,a6] |
Generators |
[-383:880:1] [-153:5250:1] |
Generators of the group modulo torsion |
j |
1413487789441083/55278125000 |
j-invariant |
L |
11.607868186731 |
L(r)(E,1)/r! |
Ω |
0.42110752760688 |
Real period |
R |
0.43070457905701 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11970i2 95760bz2 |
Quadratic twists by: -4 -3 |