Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16720h |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
468170514048050000 = 24 · 55 · 1110 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 11+ 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1021031,396079706] |
[a1,a2,a3,a4,a6] |
j |
7357341911923925653504/29260657128003125 |
j-invariant |
L |
2.6751447628201 |
L(r)(E,1)/r! |
Ω |
0.29723830698001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360d1 66880dm1 83600m1 |
Quadratic twists by: -4 8 5 |