Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440be |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-9840310272000 = -1 · 214 · 37 · 53 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7968,312608] |
[a1,a2,a3,a4,a6] |
j |
-4684079104/823875 |
j-invariant |
L |
1.3962609468214 |
L(r)(E,1)/r! |
Ω |
0.69813047342203 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37440dw2 2340i2 12480j2 |
Quadratic twists by: -4 8 -3 |