Atkin-Lehner |
3- 5+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
71175l |
Isogeny class |
Conductor |
71175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-16236796875 = -1 · 3 · 57 · 13 · 732 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 5 13- 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,617,-1481] |
[a1,a2,a3,a4,a6] |
Generators |
[111:899:27] |
Generators of the group modulo torsion |
j |
1659797504/1039155 |
j-invariant |
L |
7.4601416023599 |
L(r)(E,1)/r! |
Ω |
0.71275899601221 |
Real period |
R |
1.3083211935703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14235h1 |
Quadratic twists by: 5 |