Atkin-Lehner |
2- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
85312r |
Isogeny class |
Conductor |
85312 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
19869198498922496 = 223 · 313 · 433 |
Discriminant |
Eigenvalues |
2- -2 3 4 -3 7 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-157889,23123263] |
[a1,a2,a3,a4,a6] |
Generators |
[266:129:1] |
Generators of the group modulo torsion |
j |
1660512553217713/75794977184 |
j-invariant |
L |
6.7308087854648 |
L(r)(E,1)/r! |
Ω |
0.38071438178728 |
Real period |
R |
2.9465697020329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015524 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85312i2 21328g2 |
Quadratic twists by: -4 8 |