Atkin-Lehner |
2+ 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46354k |
Isogeny class |
Conductor |
46354 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-306956188 = -1 · 22 · 73 · 112 · 432 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2207,40473] |
[a1,a2,a3,a4,a6] |
Generators |
[23:27:1] |
Generators of the group modulo torsion |
j |
-3466947585375/894916 |
j-invariant |
L |
3.4530496709526 |
L(r)(E,1)/r! |
Ω |
1.681662376017 |
Real period |
R |
0.51333872366245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46354j1 |
Quadratic twists by: -7 |