Atkin-Lehner |
3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
125775s |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
275069925 = 39 · 52 · 13 · 43 |
Discriminant |
Eigenvalues |
-2 3- 5+ -5 -5 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1785,29016] |
[a1,a2,a3,a4,a6] |
Generators |
[26:13:1] [-62:1643:8] |
Generators of the group modulo torsion |
j |
34512056320/15093 |
j-invariant |
L |
4.5955521098725 |
L(r)(E,1)/r! |
Ω |
1.7117081801572 |
Real period |
R |
0.67119386407905 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41925j1 125775bk1 |
Quadratic twists by: -3 5 |