Atkin-Lehner |
2+ 5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
52520b |
Isogeny class |
Conductor |
52520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-600009488000000 = -1 · 210 · 56 · 135 · 101 |
Discriminant |
Eigenvalues |
2+ 3 5+ 0 0 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-532243,149460542] |
[a1,a2,a3,a4,a6] |
Generators |
[-6243:435500:27] |
Generators of the group modulo torsion |
j |
-16283720169275713956/585946765625 |
j-invariant |
L |
10.407424014054 |
L(r)(E,1)/r! |
Ω |
0.48217855602966 |
Real period |
R |
5.3960425468281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105040b1 |
Quadratic twists by: -4 |