Atkin-Lehner |
2- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23408i |
Isogeny class |
Conductor |
23408 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
121581625331482624 = 216 · 76 · 112 · 194 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123931,743370] |
[a1,a2,a3,a4,a6] |
Generators |
[-337:2058:1] |
Generators of the group modulo torsion |
j |
51392959346614257/29683013996944 |
j-invariant |
L |
4.3807442479882 |
L(r)(E,1)/r! |
Ω |
0.28116833537294 |
Real period |
R |
2.5967505920001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2926a2 93632bc2 |
Quadratic twists by: -4 8 |