Atkin-Lehner |
2- 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
24016i |
Isogeny class |
Conductor |
24016 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7008 |
Modular degree for the optimal curve |
Δ |
-384256 = -1 · 28 · 19 · 79 |
Discriminant |
Eigenvalues |
2- 0 1 4 -2 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1967,33578] |
[a1,a2,a3,a4,a6] |
j |
-3287735163216/1501 |
j-invariant |
L |
2.4538903625003 |
L(r)(E,1)/r! |
Ω |
2.4538903625004 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6004a1 96064t1 |
Quadratic twists by: -4 8 |