Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440o |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-419232153600 = -1 · 216 · 39 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,33264] |
[a1,a2,a3,a4,a6] |
j |
-78732/325 |
j-invariant |
L |
3.2921425321431 |
L(r)(E,1)/r! |
Ω |
0.82303563303355 |
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 |
37440dg1 4680k1 37440a1 |
Quadratic twists by: -4 8 -3 |