Atkin-Lehner |
2+ 3- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
24174a |
Isogeny class |
Conductor |
24174 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
1065203136 = 26 · 36 · 172 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -1 -5 0 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-765,-7803] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:17:1] [-14:11:1] |
Generators of the group modulo torsion |
j |
67967263441/1461184 |
j-invariant |
L |
5.0425596341325 |
L(r)(E,1)/r! |
Ω |
0.90891980807385 |
Real period |
R |
1.38696494161 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2686e1 |
Quadratic twists by: -3 |