Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120ce |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
5097960000 = 26 · 32 · 54 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-446,-1320] |
[a1,a2,a3,a4,a6] |
Generators |
[222:3300:1] |
Generators of the group modulo torsion |
j |
153646158016/79655625 |
j-invariant |
L |
7.6819657961701 |
L(r)(E,1)/r! |
Ω |
1.0991560134047 |
Real period |
R |
3.4944838141951 |
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 |
57120bj1 114240ht2 |
Quadratic twists by: -4 8 |