Atkin-Lehner |
2- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
53300g |
Isogeny class |
Conductor |
53300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
133250000 = 24 · 56 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4433,-112138] |
[a1,a2,a3,a4,a6] |
j |
38545604608/533 |
j-invariant |
L |
1.1701655663233 |
L(r)(E,1)/r! |
Ω |
0.58508278293611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2132b1 |
Quadratic twists by: 5 |