Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800q |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-38491200 = -1 · 26 · 37 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11+ 4 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,72,162] |
[a1,a2,a3,a4,a6] |
Generators |
[23:116:1] |
Generators of the group modulo torsion |
j |
25442240/24057 |
j-invariant |
L |
4.4755266456799 |
L(r)(E,1)/r! |
Ω |
1.3429497884749 |
Real period |
R |
3.3326090700331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800dc1 26400w1 52800ds1 |
Quadratic twists by: -4 8 5 |