Atkin-Lehner |
5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
120185d |
Isogeny class |
Conductor |
120185 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-26707758882025 = -1 · 52 · 132 · 436 |
Discriminant |
Eigenvalues |
1 2 5- 4 2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7358,-50031] |
[a1,a2,a3,a4,a6] |
Generators |
[661412484310392:10678072101535599:38405782562419] |
Generators of the group modulo torsion |
j |
6967871/4225 |
j-invariant |
L |
16.141035013438 |
L(r)(E,1)/r! |
Ω |
0.38773195290217 |
Real period |
R |
20.814682539008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65a2 |
Quadratic twists by: -43 |