Atkin-Lehner |
2+ 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050w |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-45545500 = -1 · 22 · 53 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11+ 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13,321] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:18:1] |
Generators of the group modulo torsion |
j |
1860867/364364 |
j-invariant |
L |
3.7982162578545 |
L(r)(E,1)/r! |
Ω |
1.5599473714134 |
Real period |
R |
0.60870903843557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50050cb1 |
Quadratic twists by: 5 |