Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800et |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-222750000000000 = -1 · 210 · 34 · 512 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37133,2858637] |
[a1,a2,a3,a4,a6] |
Generators |
[97:400:1] |
Generators of the group modulo torsion |
j |
-353912203264/13921875 |
j-invariant |
L |
5.3394711804236 |
L(r)(E,1)/r! |
Ω |
0.55549542716051 |
Real period |
R |
2.4030221129584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999394 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800cg1 13200r1 10560cm1 |
Quadratic twists by: -4 8 5 |