Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52900u |
Isogeny class |
Conductor |
52900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-851206361750000 = -1 · 24 · 56 · 237 |
Discriminant |
Eigenvalues |
2- 3 5+ -4 -2 5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13225,-1520875] |
[a1,a2,a3,a4,a6] |
Generators |
[1384140:38709575:1728] |
Generators of the group modulo torsion |
j |
-6912/23 |
j-invariant |
L |
10.199276939735 |
L(r)(E,1)/r! |
Ω |
0.20483242559379 |
Real period |
R |
6.2241591572927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2116d1 2300b1 |
Quadratic twists by: 5 -23 |