Atkin-Lehner |
2- 3+ 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
46530r |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-11167200 = -1 · 25 · 33 · 52 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17,-159] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-36:1] |
Generators of the group modulo torsion |
j |
-19034163/413600 |
j-invariant |
L |
9.7287753903666 |
L(r)(E,1)/r! |
Ω |
0.98117040703356 |
Real period |
R |
0.49577399199073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46530a1 |
Quadratic twists by: -3 |