Atkin-Lehner |
2- 11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
56848d |
Isogeny class |
Conductor |
56848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
94216458862592 = 220 · 114 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 2 -2 -4 11+ -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81344,8944640] |
[a1,a2,a3,a4,a6] |
Generators |
[1312:46464:1] |
Generators of the group modulo torsion |
j |
14532678861183937/23002065152 |
j-invariant |
L |
4.7792474541239 |
L(r)(E,1)/r! |
Ω |
0.60093546835766 |
Real period |
R |
1.9882531925471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7106c1 |
Quadratic twists by: -4 |