Atkin-Lehner |
2+ 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312bg |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
14251684921344 = 217 · 34 · 134 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10049,339231] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:780:1] |
Generators of the group modulo torsion |
j |
856299206306/108731727 |
j-invariant |
L |
4.3128079473937 |
L(r)(E,1)/r! |
Ω |
0.67863782642443 |
Real period |
R |
1.5887737642656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000118596 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117312ck4 14664e3 |
Quadratic twists by: -4 8 |