Atkin-Lehner |
5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
57575f |
Isogeny class |
Conductor |
57575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-21167628671875 = -1 · 57 · 78 · 47 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 4 -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6533,298344] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:612:1] |
Generators of the group modulo torsion |
j |
-16777216/11515 |
j-invariant |
L |
3.5906434142711 |
L(r)(E,1)/r! |
Ω |
0.62788877439233 |
Real period |
R |
0.71482473501444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11515b1 8225a1 |
Quadratic twists by: 5 -7 |