Atkin-Lehner |
3- 11- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48807o |
Isogeny class |
Conductor |
48807 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-2217838887 = -1 · 37 · 112 · 172 · 29 |
Discriminant |
Eigenvalues |
-1 3- 0 -4 11- 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-545,5528] |
[a1,a2,a3,a4,a6] |
Generators |
[6:46:1] |
Generators of the group modulo torsion |
j |
-24515367625/3042303 |
j-invariant |
L |
2.5938854755434 |
L(r)(E,1)/r! |
Ω |
1.4183186491672 |
Real period |
R |
0.45721133911776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16269f1 |
Quadratic twists by: -3 |