Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440fc |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1819584000000 = -1 · 212 · 37 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2532,81344] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-225:1] [-32:360:1] |
Generators of the group modulo torsion |
j |
-601211584/609375 |
j-invariant |
L |
8.8259516259256 |
L(r)(E,1)/r! |
Ω |
0.76042079379585 |
Real period |
R |
0.48361116294294 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440fa1 18720bh1 12480bn1 |
Quadratic twists by: -4 8 -3 |