Atkin-Lehner |
2- 11- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23452d |
Isogeny class |
Conductor |
23452 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
67680 |
Modular degree for the optimal curve |
Δ |
-416969247947824 = -1 · 24 · 113 · 132 · 415 |
Discriminant |
Eigenvalues |
2- 0 3 1 11- 13- -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6176,1000053] |
[a1,a2,a3,a4,a6] |
Generators |
[47:902:1] |
Generators of the group modulo torsion |
j |
-1628266888691712/26060577996739 |
j-invariant |
L |
6.5104547731909 |
L(r)(E,1)/r! |
Ω |
0.44864146870453 |
Real period |
R |
0.48371622831256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93808bb1 |
Quadratic twists by: -4 |