Atkin-Lehner |
2+ 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
19470l |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
2.2406357983069E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-966699,286220566] |
[a1,a2,a3,a4,a6] |
Generators |
[-817:23448:1] |
Generators of the group modulo torsion |
j |
99907219952951041758889/22406357983069209600 |
j-invariant |
L |
3.4162120585865 |
L(r)(E,1)/r! |
Ω |
0.20201912989264 |
Real period |
R |
2.8183899056178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
58410bp1 97350br1 |
Quadratic twists by: -3 5 |