Atkin-Lehner |
2- 5- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
53950bc |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-21917187500 = -1 · 22 · 58 · 132 · 83 |
Discriminant |
Eigenvalues |
2- 1 5- 4 0 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,9392] |
[a1,a2,a3,a4,a6] |
j |
-73530625/56108 |
j-invariant |
L |
4.4376228570281 |
L(r)(E,1)/r! |
Ω |
1.1094057145051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53950i1 |
Quadratic twists by: 5 |