Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200ev |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-699876051966000 = -1 · 24 · 36 · 53 · 75 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20407,594132] |
[a1,a2,a3,a4,a6] |
j |
469904850632704/349938025983 |
j-invariant |
L |
3.2483621814457 |
L(r)(E,1)/r! |
Ω |
0.32483623585621 |
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 |
27300v1 109200hc1 |
Quadratic twists by: -4 5 |