Atkin-Lehner |
2+ 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11682c |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
4381019075618064 = 24 · 320 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ 2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40968,223600] |
[a1,a2,a3,a4,a6] |
j |
10431251950649473/6009628361616 |
j-invariant |
L |
0.74394914387154 |
L(r)(E,1)/r! |
Ω |
0.37197457193577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456bx1 3894l1 128502bt1 |
Quadratic twists by: -4 -3 -11 |