Atkin-Lehner |
2+ 3- 13+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
102258i |
Isogeny class |
Conductor |
102258 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
159218238726144 = 213 · 36 · 132 · 193 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 3 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-108189,-13656443] |
[a1,a2,a3,a4,a6] |
Generators |
[393:1903:1] |
Generators of the group modulo torsion |
j |
192109022223211729/218406363136 |
j-invariant |
L |
4.9315045228122 |
L(r)(E,1)/r! |
Ω |
0.26325900519396 |
Real period |
R |
3.1220866229473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11362j1 |
Quadratic twists by: -3 |