Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7688l |
Isogeny class |
Conductor |
7688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1746720844679168 = 211 · 318 |
Discriminant |
Eigenvalues |
2- 2 2 0 -2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31072,643692] |
[a1,a2,a3,a4,a6] |
Generators |
[375473500767:15451829050400:219256227] |
Generators of the group modulo torsion |
j |
1825346/961 |
j-invariant |
L |
6.2636987874641 |
L(r)(E,1)/r! |
Ω |
0.41376591925971 |
Real period |
R |
15.13826657998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15376n2 61504y2 69192m2 248b2 |
Quadratic twists by: -4 8 -3 -31 |