Atkin-Lehner |
2- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
80240m |
Isogeny class |
Conductor |
80240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-205414400 = -1 · 213 · 52 · 17 · 59 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 -2 5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,64,640] |
[a1,a2,a3,a4,a6] |
Generators |
[8:40:1] |
Generators of the group modulo torsion |
j |
6967871/50150 |
j-invariant |
L |
4.9707831209593 |
L(r)(E,1)/r! |
Ω |
1.2968457968852 |
Real period |
R |
0.47912241562053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999875911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10030k1 |
Quadratic twists by: -4 |