Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13050be |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
951345000000 = 26 · 38 · 57 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2480,8147] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:235:1] |
Generators of the group modulo torsion |
j |
148035889/83520 |
j-invariant |
L |
7.6607268603803 |
L(r)(E,1)/r! |
Ω |
0.76012190993097 |
Real period |
R |
0.41992863032304 |
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 |
104400dv1 4350m1 2610g1 |
Quadratic twists by: -4 -3 5 |