Atkin-Lehner |
2- 5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
63550s |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-5211100000000 = -1 · 28 · 58 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -2 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5063,174781] |
[a1,a2,a3,a4,a6] |
Generators |
[95:702:1] |
Generators of the group modulo torsion |
j |
-918613512361/333510400 |
j-invariant |
L |
14.497712957271 |
L(r)(E,1)/r! |
Ω |
0.7205037372886 |
Real period |
R |
1.2576021648763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000153 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710g1 |
Quadratic twists by: 5 |