Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120bs |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
4 |
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] |
j |
1124864/48195 |
j-invariant |
L |
3.4312196784236 |
L(r)(E,1)/r! |
Ω |
0.85780491949891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57120x1 114240dl1 |
Quadratic twists by: -4 8 |