Atkin-Lehner |
3+ 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
101175d |
Isogeny class |
Conductor |
101175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
40406765625 = 33 · 56 · 19 · 712 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 2 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-68363,-6908344] |
[a1,a2,a3,a4,a6] |
j |
2261348105231593/2586033 |
j-invariant |
L |
1.1810115155353 |
L(r)(E,1)/r! |
Ω |
0.29525296880697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4047b2 |
Quadratic twists by: 5 |