Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840cn |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
7796039680000 = 216 · 54 · 114 · 13 |
Discriminant |
Eigenvalues |
2- -3 5- -2 11- 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66187,6552634] |
[a1,a2,a3,a4,a6] |
Generators |
[165:352:1] [-187:3520:1] |
Generators of the group modulo torsion |
j |
534701144241/130000 |
j-invariant |
L |
7.7512031428977 |
L(r)(E,1)/r! |
Ω |
0.72147051026865 |
Real period |
R |
0.22382536317849 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999892819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730z1 125840ct1 |
Quadratic twists by: -4 -11 |