Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650bz |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
392000 |
Modular degree for the optimal curve |
Δ |
-46060586000000 = -1 · 27 · 56 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 11- 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8130,-429503] |
[a1,a2,a3,a4,a6] |
Generators |
[14601:326767:27] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
19.062812450025 |
L(r)(E,1)/r! |
Ω |
0.24325902233073 |
Real period |
R |
5.5974469009647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146i1 650f1 |
Quadratic twists by: 5 -11 |