Atkin-Lehner |
2- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
46640k |
Isogeny class |
Conductor |
46640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-46640 = -1 · 24 · 5 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 11- 5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,10] |
[a1,a2,a3,a4,a6] |
Generators |
[6:16:1] |
Generators of the group modulo torsion |
j |
-16384/2915 |
j-invariant |
L |
6.0083820088092 |
L(r)(E,1)/r! |
Ω |
2.9292500979481 |
Real period |
R |
2.0511672980797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11660a1 |
Quadratic twists by: -4 |