Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200fr |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1078008750000 = -1 · 24 · 36 · 57 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2633,71238] |
[a1,a2,a3,a4,a6] |
j |
-8077950976/4312035 |
j-invariant |
L |
4.8685959231699 |
L(r)(E,1)/r! |
Ω |
0.81143263491462 |
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 |
27300f1 21840bo1 |
Quadratic twists by: -4 5 |