Atkin-Lehner |
2+ 3- 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
24174h |
Isogeny class |
Conductor |
24174 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-25694109468 = -1 · 22 · 314 · 17 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 -2 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-234,-7776] |
[a1,a2,a3,a4,a6] |
j |
-1948441249/35245692 |
j-invariant |
L |
1.0254932568096 |
L(r)(E,1)/r! |
Ω |
0.51274662840494 |
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 |
8058b1 |
Quadratic twists by: -3 |