Atkin-Lehner |
3- 7- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
23919d |
Isogeny class |
Conductor |
23919 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29760 |
Modular degree for the optimal curve |
Δ |
-751606737 = -1 · 3 · 72 · 17 · 673 |
Discriminant |
Eigenvalues |
1 3- 0 7- 3 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32106,2211529] |
[a1,a2,a3,a4,a6] |
Generators |
[97:62:1] |
Generators of the group modulo torsion |
j |
-3659846503327449625/751606737 |
j-invariant |
L |
7.8317393618027 |
L(r)(E,1)/r! |
Ω |
1.266195927231 |
Real period |
R |
3.0926253960277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71757p1 |
Quadratic twists by: -3 |