Atkin-Lehner |
2- 3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850cf |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15897600 |
Modular degree for the optimal curve |
Δ |
-1.2336057957781E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11+ 4 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-108109263,464440349781] |
[a1,a2,a3,a4,a6] |
j |
-357727557924004970392465/31580308371920191488 |
j-invariant |
L |
2.2295836107705 |
L(r)(E,1)/r! |
Ω |
0.06967448783371 |
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 |
47850be1 |
Quadratic twists by: 5 |