Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200fo |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-1073479680000000 = -1 · 224 · 32 · 57 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25592,51188] |
[a1,a2,a3,a4,a6] |
j |
28962726911/16773120 |
j-invariant |
L |
4.7073677978706 |
L(r)(E,1)/r! |
Ω |
0.29421052238605 |
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 |
13650l1 21840bg1 |
Quadratic twists by: -4 5 |