Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600x |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-316416000000 = -1 · 216 · 3 · 56 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,592,-26688] |
[a1,a2,a3,a4,a6] |
j |
357911/4944 |
j-invariant |
L |
0.94683613352534 |
L(r)(E,1)/r! |
Ω |
0.47341791387032 |
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 |
15450bf1 4944k1 |
Quadratic twists by: -4 5 |