Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6840b |
Isogeny class |
Conductor |
6840 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-8208346377600000 = -1 · 210 · 39 · 55 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2133,-4358826] |
[a1,a2,a3,a4,a6] |
j |
53248212/407253125 |
j-invariant |
L |
1.915777215892 |
L(r)(E,1)/r! |
Ω |
0.1915777215892 |
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 |
13680e1 54720d1 6840j1 34200bw1 |
Quadratic twists by: -4 8 -3 5 |