Atkin-Lehner |
2- 3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
46530bc |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-114010132500 = -1 · 22 · 36 · 54 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ -5 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,193,-16261] |
[a1,a2,a3,a4,a6] |
Generators |
[27:76:1] |
Generators of the group modulo torsion |
j |
1095912791/156392500 |
j-invariant |
L |
9.2705043548281 |
L(r)(E,1)/r! |
Ω |
0.49752461235176 |
Real period |
R |
1.1645786113723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5170b1 |
Quadratic twists by: -3 |