Atkin-Lehner |
7- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
74137a |
Isogeny class |
Conductor |
74137 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
4578413542577 = 76 · 173 · 892 |
Discriminant |
Eigenvalues |
-1 -2 -2 7- 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6469,171240] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:593:1] |
Generators of the group modulo torsion |
j |
254478514753/38915873 |
j-invariant |
L |
1.7552440615462 |
L(r)(E,1)/r! |
Ω |
0.74114683294714 |
Real period |
R |
2.3682811335424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1513a1 |
Quadratic twists by: -7 |