Atkin-Lehner |
11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20449f |
Isogeny class |
Conductor |
20449 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14040 |
Modular degree for the optimal curve |
Δ |
-70669310569 = -1 · 114 · 136 |
Discriminant |
Eigenvalues |
-1 2 -1 2 11- 13+ -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-426,-13408] |
[a1,a2,a3,a4,a6] |
j |
-121 |
j-invariant |
L |
1.386326356027 |
L(r)(E,1)/r! |
Ω |
0.46210878534235 |
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 |
20449d2 121c1 |
Quadratic twists by: -11 13 |