Atkin-Lehner |
3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112677f |
Isogeny class |
Conductor |
112677 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3552891091213689 = 32 · 238 · 712 |
Discriminant |
Eigenvalues |
-1 3- -2 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43389,-1972656] |
[a1,a2,a3,a4,a6] |
Generators |
[4469790:30442827:17576] |
Generators of the group modulo torsion |
j |
61023377953/24000201 |
j-invariant |
L |
4.0572827110547 |
L(r)(E,1)/r! |
Ω |
0.34212287621926 |
Real period |
R |
11.859138984002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999318852 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4899d2 |
Quadratic twists by: -23 |