Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148bi |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
117936 |
Modular degree for the optimal curve |
Δ |
-10932886272 = -1 · 28 · 3 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 11- -2 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10061,391833] |
[a1,a2,a3,a4,a6] |
j |
-30908416/3 |
j-invariant |
L |
3.6753037770728 |
L(r)(E,1)/r! |
Ω |
1.2251012597205 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1452g1 71148bh1 |
Quadratic twists by: -7 -11 |