Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8360d |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
144000 |
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 |
1.502255083293 |
L(r)(E,1)/r! |
Ω |
0.1502255083293 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16720h1 66880bg1 75240bj1 41800v1 |
Quadratic twists by: -4 8 -3 5 |