Atkin-Lehner |
2+ 3+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
83448a |
Isogeny class |
Conductor |
83448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1424966059008 = 210 · 39 · 19 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10395,-403866] |
[a1,a2,a3,a4,a6] |
j |
6163195500/70699 |
j-invariant |
L |
3.7851624615303 |
L(r)(E,1)/r! |
Ω |
0.47314530767238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83448g2 |
Quadratic twists by: -3 |