Atkin-Lehner |
2+ 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
47658l |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-346280589435456 = -1 · 26 · 38 · 132 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 0 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11223,-1006406] |
[a1,a2,a3,a4,a6] |
Generators |
[143:492:1] |
Generators of the group modulo torsion |
j |
-924928727325889/2048997570624 |
j-invariant |
L |
6.871075313933 |
L(r)(E,1)/r! |
Ω |
0.21706940472194 |
Real period |
R |
0.49459089786502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47658ba1 |
Quadratic twists by: 13 |