Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11858b |
Isogeny class |
Conductor |
11858 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
4117405386248 = 23 · 74 · 118 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 11- 2 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4076,-21400] |
[a1,a2,a3,a4,a6] |
j |
14553/8 |
j-invariant |
L |
1.9167596611814 |
L(r)(E,1)/r! |
Ω |
0.63891988706047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94864be1 106722fs1 11858j1 11858w1 |
Quadratic twists by: -4 -3 -7 -11 |