Atkin-Lehner |
3- 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
31815b |
Isogeny class |
Conductor |
31815 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2594143089931640625 = 312 · 510 · 72 · 1012 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1773788,906421542] |
[a1,a2,a3,a4,a6] |
j |
846644500581388500601/3558495322265625 |
j-invariant |
L |
0.51550649421806 |
L(r)(E,1)/r! |
Ω |
0.25775324711047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10605c2 |
Quadratic twists by: -3 |