Atkin-Lehner |
3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48675r |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-22177546875 = -1 · 37 · 56 · 11 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5+ 0 11- 1 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10858,431944] |
[a1,a2,a3,a4,a6] |
Generators |
[68:112:1] |
Generators of the group modulo torsion |
j |
-9061356040192/1419363 |
j-invariant |
L |
3.536721540172 |
L(r)(E,1)/r! |
Ω |
1.1663482024409 |
Real period |
R |
0.21659309511836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1947d1 |
Quadratic twists by: 5 |