Atkin-Lehner |
2- 3+ 5- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710x |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
192765456000000 = 210 · 32 · 56 · 132 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52165,-4558645] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:268:1] |
Generators of the group modulo torsion |
j |
15698634117089898961/192765456000000 |
j-invariant |
L |
6.9935488993176 |
L(r)(E,1)/r! |
Ω |
0.31613835573767 |
Real period |
R |
0.73739327232208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
104130m2 |
Quadratic twists by: -3 |