Atkin-Lehner |
3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6897g |
Isogeny class |
Conductor |
6897 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-39479043784851 = -1 · 32 · 116 · 195 |
Discriminant |
Eigenvalues |
2 3- 1 -3 11- 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-531230,148852787] |
[a1,a2,a3,a4,a6] |
j |
-9358714467168256/22284891 |
j-invariant |
L |
5.5883471978351 |
L(r)(E,1)/r! |
Ω |
0.55883471978351 |
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 |
110352x2 20691r2 57c2 |
Quadratic twists by: -4 -3 -11 |