Atkin-Lehner |
3+ 5+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
125925c |
Isogeny class |
Conductor |
125925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
592911360 |
Modular degree for the optimal curve |
Δ |
-2.0230053496091E+29 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 3 -6 2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-58715825908,-5476243030018032] |
[a1,a2,a3,a4,a6] |
Generators |
[143657764636301760621488:10801767340630996641085543088:25409591008199] |
Generators of the group modulo torsion |
j |
-1432746012722358180608845217910784/12947234237498226916321875 |
j-invariant |
L |
2.6397910572682 |
L(r)(E,1)/r! |
Ω |
0.0048493164988868 |
Real period |
R |
34.022720751911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25185e1 |
Quadratic twists by: 5 |