Atkin-Lehner |
2- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32450r |
Isogeny class |
Conductor |
32450 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
265830400000000 = 220 · 58 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43005,-3331003] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:360:1] |
Generators of the group modulo torsion |
j |
562925697426009/17013145600 |
j-invariant |
L |
8.6117581068057 |
L(r)(E,1)/r! |
Ω |
0.33214189120199 |
Real period |
R |
1.2963974636925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6490c1 |
Quadratic twists by: 5 |