Atkin-Lehner |
2- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
129344bh |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
8452766987264 = 210 · 433 · 473 |
Discriminant |
Eigenvalues |
2- -2 -3 -2 0 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6037,-116181] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:188:1] [99:516:1] |
Generators of the group modulo torsion |
j |
23766171123712/8254655261 |
j-invariant |
L |
6.4434833846946 |
L(r)(E,1)/r! |
Ω |
0.55699942605822 |
Real period |
R |
0.64267803866127 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000013273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344g2 32336j2 |
Quadratic twists by: -4 8 |