Atkin-Lehner |
2+ 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72842a |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
183790272512 = 216 · 72 · 113 · 43 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1421,-931] |
[a1,a2,a3,a4,a6] |
Generators |
[61:349:1] |
Generators of the group modulo torsion |
j |
238674127427/138084352 |
j-invariant |
L |
5.3744222296503 |
L(r)(E,1)/r! |
Ω |
0.85221695159004 |
Real period |
R |
3.1532007306639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72842q1 |
Quadratic twists by: -11 |