Atkin-Lehner |
2- 11- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56848m |
Isogeny class |
Conductor |
56848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
12166381568 = 214 · 112 · 17 · 192 |
Discriminant |
Eigenvalues |
2- -2 0 -2 11- -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-888,8404] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:110:1] [-10:128:1] |
Generators of the group modulo torsion |
j |
18927429625/2970308 |
j-invariant |
L |
6.7462633536317 |
L(r)(E,1)/r! |
Ω |
1.2137050437676 |
Real period |
R |
1.3896010790018 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7106a1 |
Quadratic twists by: -4 |