Atkin-Lehner |
2- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120cq |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
8870400 |
Modular degree for the optimal curve |
Δ |
-1.51004631664E+22 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -2 3 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9671425,-13002230625] |
[a1,a2,a3,a4,a6] |
Generators |
[6650:465625:1] |
Generators of the group modulo torsion |
j |
-3053129510234102552072/460829564404296875 |
j-invariant |
L |
4.3495300608156 |
L(r)(E,1)/r! |
Ω |
0.042451539174262 |
Real period |
R |
4.6572141544184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000138389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120cv1 62560l1 |
Quadratic twists by: -4 8 |