Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850ff |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-40128419460937500 = -1 · 22 · 34 · 59 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,85112,1279781] |
[a1,a2,a3,a4,a6] |
Generators |
[-755:109683:125] |
Generators of the group modulo torsion |
j |
296740963/174636 |
j-invariant |
L |
9.7398400939073 |
L(r)(E,1)/r! |
Ω |
0.22055266975987 |
Real period |
R |
5.5201327336766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80850dd1 11550ct1 |
Quadratic twists by: 5 -7 |