Atkin-Lehner |
3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
125775bf |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
953856 |
Modular degree for the optimal curve |
Δ |
-1034632988926875 = -1 · 36 · 54 · 134 · 433 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 4 13+ -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,11625,1470456] |
[a1,a2,a3,a4,a6] |
Generators |
[-638:1517:8] |
Generators of the group modulo torsion |
j |
381324800000/2270799427 |
j-invariant |
L |
4.1291324458677 |
L(r)(E,1)/r! |
Ω |
0.35624147442675 |
Real period |
R |
2.8977061349229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13975f1 125775bc1 |
Quadratic twists by: -3 5 |