Atkin-Lehner |
2- 41+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
10988a |
Isogeny class |
Conductor |
10988 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
11448 |
Modular degree for the optimal curve |
Δ |
-129429146368 = -1 · 28 · 412 · 673 |
Discriminant |
Eigenvalues |
2- -2 0 2 -6 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,987,12871] |
[a1,a2,a3,a4,a6] |
Generators |
[89:902:1] |
Generators of the group modulo torsion |
j |
414949376000/505582603 |
j-invariant |
L |
2.6753273674974 |
L(r)(E,1)/r! |
Ω |
0.69713997712399 |
Real period |
R |
1.9187878010771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
43952c1 98892d1 |
Quadratic twists by: -4 -3 |