Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440ei |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9196905369600000 = 215 · 312 · 55 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1195788,503281712] |
[a1,a2,a3,a4,a6] |
j |
7916055336451592/385003125 |
j-invariant |
L |
3.0953543151128 |
L(r)(E,1)/r! |
Ω |
0.38691928939142 |
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 |
37440ek2 18720r2 12480cg2 |
Quadratic twists by: -4 8 -3 |