Atkin-Lehner |
2- 5+ 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
23690g |
Isogeny class |
Conductor |
23690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
947600 = 24 · 52 · 23 · 103 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43,107] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:8:1] |
Generators of the group modulo torsion |
j |
8602523649/947600 |
j-invariant |
L |
5.8144464028708 |
L(r)(E,1)/r! |
Ω |
2.7020775793303 |
Real period |
R |
1.0759214404777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118450c1 |
Quadratic twists by: 5 |