Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148i |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
252000 |
Modular degree for the optimal curve |
Δ |
-264602845317888 = -1 · 28 · 35 · 74 · 116 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 3 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15811,158985] |
[a1,a2,a3,a4,a6] |
Generators |
[103:-1694:1] |
Generators of the group modulo torsion |
j |
401408/243 |
j-invariant |
L |
4.004000658515 |
L(r)(E,1)/r! |
Ω |
0.33886889108828 |
Real period |
R |
0.6564322867197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148cj1 588a1 |
Quadratic twists by: -7 -11 |