Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680cv |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-9413591040000 = -1 · 222 · 33 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2655,-137025] |
[a1,a2,a3,a4,a6] |
j |
7892485271/35910000 |
j-invariant |
L |
4.4118561806788 |
L(r)(E,1)/r! |
Ω |
0.36765477458239 |
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 |
127680en1 3990a1 |
Quadratic twists by: -4 8 |