Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24420j |
Isogeny class |
Conductor |
24420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-4391204400 = -1 · 24 · 36 · 52 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-241,-3580] |
[a1,a2,a3,a4,a6] |
Generators |
[32:150:1] |
Generators of the group modulo torsion |
j |
-97152876544/274450275 |
j-invariant |
L |
6.9086091454351 |
L(r)(E,1)/r! |
Ω |
0.56127344777543 |
Real period |
R |
2.0514686061422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680y1 73260z1 122100g1 |
Quadratic twists by: -4 -3 5 |