Atkin-Lehner |
3- 5+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725bv |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
67910731259765625 = 32 · 510 · 72 · 112 · 194 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17373126,27870351523] |
[a1,a2,a3,a4,a6] |
j |
37113982483258506949201/4346286800625 |
j-invariant |
L |
2.1531144394708 |
L(r)(E,1)/r! |
Ω |
0.26913935030024 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21945g2 |
Quadratic twists by: 5 |