Atkin-Lehner |
5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
51005a |
Isogeny class |
Conductor |
51005 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
163200 |
Modular degree for the optimal curve |
Δ |
536067676053505 = 5 · 1017 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-103923,12872546] |
[a1,a2,a3,a4,a6] |
Generators |
[1392814:-2995681:6859] |
Generators of the group modulo torsion |
j |
116930169/505 |
j-invariant |
L |
2.7812282449317 |
L(r)(E,1)/r! |
Ω |
0.52275419579372 |
Real period |
R |
10.640673063101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
505a1 |
Quadratic twists by: 101 |