Atkin-Lehner |
2- 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
23856o |
Isogeny class |
Conductor |
23856 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-15762469158912 = -1 · 221 · 3 · 7 · 713 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1512,189168] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:142:1] |
Generators of the group modulo torsion |
j |
93267830375/3848259072 |
j-invariant |
L |
3.1521630099744 |
L(r)(E,1)/r! |
Ω |
0.52844119295634 |
Real period |
R |
0.99417022871228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2982e2 95424cd2 71568bf2 |
Quadratic twists by: -4 8 -3 |