Atkin-Lehner |
5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
57575i |
Isogeny class |
Conductor |
57575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
10799810546875 = 59 · 76 · 47 |
Discriminant |
Eigenvalues |
1 -1 5+ 7- -3 -3 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6150,-99875] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:135:1] |
Generators of the group modulo torsion |
j |
13997521/5875 |
j-invariant |
L |
3.3303647012189 |
L(r)(E,1)/r! |
Ω |
0.5596343212172 |
Real period |
R |
1.4877414477033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11515c1 1175b1 |
Quadratic twists by: 5 -7 |