Atkin-Lehner |
2+ 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125736c |
Isogeny class |
Conductor |
125736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-3641421938544 = -1 · 24 · 32 · 138 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 4 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8844,335997] |
[a1,a2,a3,a4,a6] |
Generators |
[9:507:1] |
Generators of the group modulo torsion |
j |
-990692608/47151 |
j-invariant |
L |
8.3890180099799 |
L(r)(E,1)/r! |
Ω |
0.78035494594457 |
Real period |
R |
1.3437823931961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000137739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9672h1 |
Quadratic twists by: 13 |