Atkin-Lehner |
2- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190ba |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-6934683852800 = -1 · 213 · 52 · 112 · 234 |
Discriminant |
Eigenvalues |
2- -1 5- -4 11+ 2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4750,-11265] |
[a1,a2,a3,a4,a6] |
Generators |
[3:53:1] [13:223:1] |
Generators of the group modulo torsion |
j |
42353322239/24780800 |
j-invariant |
L |
11.583693170242 |
L(r)(E,1)/r! |
Ω |
0.44015803652241 |
Real period |
R |
0.16869950617218 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58190r1 |
Quadratic twists by: -23 |