Atkin-Lehner |
2+ 3- 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19734i |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
345266064 = 24 · 38 · 11 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-177,-140] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:30:1] [-4:24:1] |
Generators of the group modulo torsion |
j |
608291319817/345266064 |
j-invariant |
L |
5.4323912128321 |
L(r)(E,1)/r! |
Ω |
1.4141760806163 |
Real period |
R |
0.96034561878344 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59202bb1 |
Quadratic twists by: -3 |