Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120ce |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-338552524800 = -1 · 212 · 34 · 52 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1679,-8545] |
[a1,a2,a3,a4,a6] |
Generators |
[7:60:1] |
Generators of the group modulo torsion |
j |
127719486656/82654425 |
j-invariant |
L |
7.6819657961701 |
L(r)(E,1)/r! |
Ω |
0.54957800670237 |
Real period |
R |
1.7472419070976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999139 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57120bj2 114240ht1 |
Quadratic twists by: -4 8 |