Atkin-Lehner |
2+ 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
35550s |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
62108714476800 = 28 · 39 · 52 · 793 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9972,58576] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:668:1] |
Generators of the group modulo torsion |
j |
6017657724265/3407885568 |
j-invariant |
L |
3.8697176653124 |
L(r)(E,1)/r! |
Ω |
0.53577250191134 |
Real period |
R |
0.60189067367021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11850x1 35550cd1 |
Quadratic twists by: -3 5 |