Atkin-Lehner |
3+ 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109383f |
Isogeny class |
Conductor |
109383 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6.5570859590113E+31 |
Discriminant |
Eigenvalues |
0 3+ -3 5 3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2088301007,391323573886052] |
[a1,a2,a3,a4,a6] |
Generators |
[-16441052422237917200818:1432169879438087228825569:205820009883831448] |
Generators of the group modulo torsion |
j |
-21408261467195745040826368/1393764091485775357032891 |
j-invariant |
L |
4.5189647206206 |
L(r)(E,1)/r! |
Ω |
0.016187730717993 |
Real period |
R |
34.894983115187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5757g2 |
Quadratic twists by: -19 |