Atkin-Lehner |
2- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
88768l |
Isogeny class |
Conductor |
88768 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-88768 = -1 · 26 · 19 · 73 |
Discriminant |
Eigenvalues |
2- 0 -2 0 -2 -5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4,14] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3:1] [31:173:1] |
Generators of the group modulo torsion |
j |
110592/1387 |
j-invariant |
L |
8.9310186545644 |
L(r)(E,1)/r! |
Ω |
2.5115888876379 |
Real period |
R |
3.5559237811419 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88768e1 22192c1 |
Quadratic twists by: -4 8 |