Atkin-Lehner |
2+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
5768b |
Isogeny class |
Conductor |
5768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
76045312 = 210 · 7 · 1032 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -2 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115,222] |
[a1,a2,a3,a4,a6] |
j |
164254500/74263 |
j-invariant |
L |
1.7366328875619 |
L(r)(E,1)/r! |
Ω |
1.7366328875619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11536b2 46144d2 51912p2 40376b2 |
Quadratic twists by: -4 8 -3 -7 |