Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120x |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-197406720 = -1 · 212 · 34 · 5 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 7 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35,683] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:12:1] |
Generators of the group modulo torsion |
j |
1124864/48195 |
j-invariant |
L |
8.4670850725166 |
L(r)(E,1)/r! |
Ω |
1.3545143175786 |
Real period |
R |
0.78137648329602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57120bs1 114240a1 |
Quadratic twists by: -4 8 |