Atkin-Lehner |
3- 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31635c |
Isogeny class |
Conductor |
31635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-10513396624455 = -1 · 310 · 5 · 19 · 374 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2250,149935] |
[a1,a2,a3,a4,a6] |
j |
1727568035999/14421668895 |
j-invariant |
L |
2.1108167902175 |
L(r)(E,1)/r! |
Ω |
0.52770419755403 |
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 |
10545b4 |
Quadratic twists by: -3 |