Atkin-Lehner |
2+ 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
62050q |
Isogeny class |
Conductor |
62050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
6097033000 = 23 · 53 · 174 · 73 |
Discriminant |
Eigenvalues |
2+ -3 5- 1 -5 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-472,1336] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:43:1] |
Generators of the group modulo torsion |
j |
93144487437/48776264 |
j-invariant |
L |
2.0504161432024 |
L(r)(E,1)/r! |
Ω |
1.1802067084601 |
Real period |
R |
0.21716705733309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62050bi1 |
Quadratic twists by: 5 |