Atkin-Lehner |
2- 5+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
17380a |
Isogeny class |
Conductor |
17380 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
52498792720 = 24 · 5 · 113 · 793 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 11+ 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7466,245585] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:601:1] |
Generators of the group modulo torsion |
j |
2876907209522944/3281174545 |
j-invariant |
L |
4.4707427768554 |
L(r)(E,1)/r! |
Ω |
1.1185605267319 |
Real period |
R |
3.9968715773633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
69520t1 86900c1 |
Quadratic twists by: -4 5 |