Atkin-Lehner |
2- 3- 11- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59202bh |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-25933317696 = -1 · 26 · 36 · 11 · 133 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11- 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,331,7309] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-124:1] |
Generators of the group modulo torsion |
j |
5517084663/35573824 |
j-invariant |
L |
6.0412538510538 |
L(r)(E,1)/r! |
Ω |
0.86354167554661 |
Real period |
R |
0.19433064057121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6578b1 |
Quadratic twists by: -3 |