Atkin-Lehner |
2- 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
31160k |
Isogeny class |
Conductor |
31160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
378905600 = 210 · 52 · 192 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4920,131200] |
[a1,a2,a3,a4,a6] |
Generators |
[8:304:1] |
Generators of the group modulo torsion |
j |
12864927172324/370025 |
j-invariant |
L |
4.2173330302504 |
L(r)(E,1)/r! |
Ω |
1.5753463456797 |
Real period |
R |
1.3385415346334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62320e1 |
Quadratic twists by: -4 |