Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600dx |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
156672000000 = 216 · 32 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4833,-129537] |
[a1,a2,a3,a4,a6] |
Generators |
[107:768:1] |
Generators of the group modulo torsion |
j |
12194500/153 |
j-invariant |
L |
7.4724610566529 |
L(r)(E,1)/r! |
Ω |
0.57301690152244 |
Real period |
R |
3.2601399007765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983436 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600gj1 10200bc1 3264b1 |
Quadratic twists by: -4 8 5 |