Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
88572a |
Isogeny class |
Conductor |
88572 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
228480 |
Modular degree for the optimal curve |
Δ |
-2240840422656 = -1 · 28 · 34 · 116 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 1 5 11- -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12140,-515832] |
[a1,a2,a3,a4,a6] |
Generators |
[40041313265:499884395904:180362125] |
Generators of the group modulo torsion |
j |
-436334416/4941 |
j-invariant |
L |
7.8308394242804 |
L(r)(E,1)/r! |
Ω |
0.22725786629569 |
Real period |
R |
17.228973306674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
732b1 |
Quadratic twists by: -11 |