Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
342f |
Isogeny class |
Conductor |
342 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
392143306752 = 220 · 39 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3168,62464] |
[a1,a2,a3,a4,a6] |
j |
4824238966273/537919488 |
j-invariant |
L |
0.91932346865948 |
L(r)(E,1)/r! |
Ω |
0.91932346865948 |
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 |
2736v1 10944bg1 114c1 8550w1 |
Quadratic twists by: -4 8 -3 5 |