Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24864y |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
-2676677942901590208 = -1 · 26 · 35 · 72 · 378 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4372718,3518877180] |
[a1,a2,a3,a4,a6] |
j |
-144476844676617188728000/41823092857837347 |
j-invariant |
L |
2.5015919236542 |
L(r)(E,1)/r! |
Ω |
0.25015919236541 |
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 |
24864a1 49728w2 74592l1 |
Quadratic twists by: -4 8 -3 |