Atkin-Lehner |
2+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
116272f |
Isogeny class |
Conductor |
116272 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
294528 |
Modular degree for the optimal curve |
Δ |
-35918255107072 = -1 · 210 · 138 · 43 |
Discriminant |
Eigenvalues |
2+ 0 4 2 3 13+ 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2197,285610] |
[a1,a2,a3,a4,a6] |
j |
1404/43 |
j-invariant |
L |
5.8904166147036 |
L(r)(E,1)/r! |
Ω |
0.4908680687564 |
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 |
58136b1 116272g1 |
Quadratic twists by: -4 13 |