Atkin-Lehner |
2+ 3- 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
34314i |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
85206239762112 = 26 · 36 · 76 · 192 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11012,-24766] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:607:1] [-88:558:1] |
Generators of the group modulo torsion |
j |
147660939226568377/85206239762112 |
j-invariant |
L |
6.8513823435552 |
L(r)(E,1)/r! |
Ω |
0.5084074917074 |
Real period |
R |
0.3743378673881 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942bo2 |
Quadratic twists by: -3 |