Atkin-Lehner |
2+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
28832f |
Isogeny class |
Conductor |
28832 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
883239488 = 26 · 173 · 532 |
Discriminant |
Eigenvalues |
2+ -2 2 -2 0 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1602,24112] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:212:1] [-3:170:1] |
Generators of the group modulo torsion |
j |
7108898940352/13800617 |
j-invariant |
L |
6.3275515999714 |
L(r)(E,1)/r! |
Ω |
1.5795411295028 |
Real period |
R |
1.3353143056941 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28832n1 57664u1 |
Quadratic twists by: -4 8 |