Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11858y |
Isogeny class |
Conductor |
11858 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
4784770920872620832 = 25 · 78 · 1110 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ 11- -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-732355,-217367039] |
[a1,a2,a3,a4,a6] |
Generators |
[-617:602:1] |
Generators of the group modulo torsion |
j |
290521/32 |
j-invariant |
L |
7.4810271318678 |
L(r)(E,1)/r! |
Ω |
0.16436654542657 |
Real period |
R |
3.034286209704 |
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 |
94864bm1 106722bz1 11858bn1 11858d1 |
Quadratic twists by: -4 -3 -7 -11 |