Atkin-Lehner |
2- 3+ 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36708a |
Isogeny class |
Conductor |
36708 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
32916944592 = 24 · 34 · 7 · 193 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16073,789654] |
[a1,a2,a3,a4,a6] |
j |
28702622783488000/2057309037 |
j-invariant |
L |
1.1101677490797 |
L(r)(E,1)/r! |
Ω |
1.1101677490613 |
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 |
110124f1 |
Quadratic twists by: -3 |