Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56100q |
Isogeny class |
Conductor |
56100 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-8179380000000 = -1 · 28 · 37 · 57 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ -3 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3508,157988] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:450:1] |
Generators of the group modulo torsion |
j |
-1193895376/2044845 |
j-invariant |
L |
8.584428344765 |
L(r)(E,1)/r! |
Ω |
0.65953711096603 |
Real period |
R |
0.15495045515163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11220g1 |
Quadratic twists by: 5 |