Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400bc |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-449452800 = -1 · 28 · 35 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -2 -5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,-997] |
[a1,a2,a3,a4,a6] |
Generators |
[14:51:1] |
Generators of the group modulo torsion |
j |
1756160/70227 |
j-invariant |
L |
6.2282791275013 |
L(r)(E,1)/r! |
Ω |
0.80179692906189 |
Real period |
R |
0.77679009506665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10200ba1 81600gd1 61200be1 20400k1 |
Quadratic twists by: -4 8 -3 5 |