Atkin-Lehner |
2+ 3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37944b |
Isogeny class |
Conductor |
37944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
302277790697472 = 211 · 312 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-278355,-56519602] |
[a1,a2,a3,a4,a6] |
j |
1597582563673250/202464441 |
j-invariant |
L |
0.41570294022622 |
L(r)(E,1)/r! |
Ω |
0.2078514701136 |
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 |
75888e2 12648e2 |
Quadratic twists by: -4 -3 |