Atkin-Lehner |
2- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11408f |
Isogeny class |
Conductor |
11408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11040 |
Modular degree for the optimal curve |
Δ |
-242317134064 = -1 · 24 · 232 · 315 |
Discriminant |
Eigenvalues |
2- -2 3 -1 -2 0 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1214,28339] |
[a1,a2,a3,a4,a6] |
j |
-12377059508992/15144820879 |
j-invariant |
L |
1.7879314346785 |
L(r)(E,1)/r! |
Ω |
0.89396571733923 |
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 |
2852b1 45632p1 102672ca1 |
Quadratic twists by: -4 8 -3 |