Atkin-Lehner |
5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
57575n |
Isogeny class |
Conductor |
57575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-10799810546875 = -1 · 59 · 76 · 47 |
Discriminant |
Eigenvalues |
-2 2 5+ 7- 0 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,4492,-109082] |
[a1,a2,a3,a4,a6] |
Generators |
[849:6724:27] |
Generators of the group modulo torsion |
j |
5451776/5875 |
j-invariant |
L |
4.7812303747255 |
L(r)(E,1)/r! |
Ω |
0.38953272554698 |
Real period |
R |
3.0685678386183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11515k1 1175c1 |
Quadratic twists by: 5 -7 |