Atkin-Lehner |
2- 7- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43624i |
Isogeny class |
Conductor |
43624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27392 |
Modular degree for the optimal curve |
Δ |
212187136 = 211 · 7 · 192 · 41 |
Discriminant |
Eigenvalues |
2- -1 3 7- 6 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1104,14476] |
[a1,a2,a3,a4,a6] |
j |
72726770594/103607 |
j-invariant |
L |
3.5487445442068 |
L(r)(E,1)/r! |
Ω |
1.7743722721395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87248b1 |
Quadratic twists by: -4 |