Atkin-Lehner |
2- 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
23560d |
Isogeny class |
Conductor |
23560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
444058880000 = 211 · 54 · 192 · 312 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9626656,11493176544] |
[a1,a2,a3,a4,a6] |
Generators |
[13770:40641:8] |
Generators of the group modulo torsion |
j |
48174827010048122020418/216825625 |
j-invariant |
L |
3.0948329932415 |
L(r)(E,1)/r! |
Ω |
0.45062866507804 |
Real period |
R |
3.4339060440214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47120c2 117800f2 |
Quadratic twists by: -4 5 |