Atkin-Lehner |
3+ 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725x |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.3001737565986E+23 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-83635213,-293130497344] |
[a1,a2,a3,a4,a6] |
j |
4140675420282251633163529/21121112042230921875 |
j-invariant |
L |
1.5980322677071 |
L(r)(E,1)/r! |
Ω |
0.049938513563181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21945t2 |
Quadratic twists by: 5 |