Atkin-Lehner |
2- 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81700f |
Isogeny class |
Conductor |
81700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26208 |
Modular degree for the optimal curve |
Δ |
-99347200 = -1 · 28 · 52 · 192 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -5 7 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173,943] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:38:1] |
Generators of the group modulo torsion |
j |
-89989120/15523 |
j-invariant |
L |
4.0586862420785 |
L(r)(E,1)/r! |
Ω |
1.821741923916 |
Real period |
R |
0.37131917439367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81700m1 |
Quadratic twists by: 5 |