Atkin-Lehner |
3+ 5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10695c |
Isogeny class |
Conductor |
10695 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24208613775 = 310 · 52 · 232 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 -4 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-747,2106] |
[a1,a2,a3,a4,a6] |
Generators |
[2:24:1] |
Generators of the group modulo torsion |
j |
46194855702841/24208613775 |
j-invariant |
L |
5.2567835395635 |
L(r)(E,1)/r! |
Ω |
1.0519437274418 |
Real period |
R |
2.4986049169889 |
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 |
32085d2 53475n2 |
Quadratic twists by: -3 5 |