Atkin-Lehner |
2+ 3- 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
84912f |
Isogeny class |
Conductor |
84912 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
1084672 |
Modular degree for the optimal curve |
Δ |
-7466914187244058608 = -1 · 24 · 319 · 29 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -5 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-148908,-133367625] |
[a1,a2,a3,a4,a6] |
Generators |
[11301:1200663:1] |
Generators of the group modulo torsion |
j |
-22822369783636000000/466682136702753663 |
j-invariant |
L |
8.2807138073401 |
L(r)(E,1)/r! |
Ω |
0.10133633565847 |
Real period |
R |
1.0751993343386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42456g1 |
Quadratic twists by: -4 |