Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800bh |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1815000000 = 26 · 3 · 57 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,2562] |
[a1,a2,a3,a4,a6] |
j |
7529536/1815 |
j-invariant |
L |
2.7913925892299 |
L(r)(E,1)/r! |
Ω |
1.3956962944696 |
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 |
52800cm1 26400r2 10560w1 |
Quadratic twists by: -4 8 5 |