Atkin-Lehner |
2- 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
79344bg |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-242605992443904 = -1 · 226 · 38 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16779,1123130] |
[a1,a2,a3,a4,a6] |
Generators |
[70:540:1] |
Generators of the group modulo torsion |
j |
-174958262857/81248256 |
j-invariant |
L |
6.6426761699646 |
L(r)(E,1)/r! |
Ω |
0.51904938171138 |
Real period |
R |
3.1994432528484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9918r1 26448l1 |
Quadratic twists by: -4 -3 |