Atkin-Lehner |
2+ 5- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
63440c |
Isogeny class |
Conductor |
63440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
2577250000 = 24 · 56 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-562,-4509] |
[a1,a2,a3,a4,a6] |
Generators |
[47:270:1] |
Generators of the group modulo torsion |
j |
1226909915136/161078125 |
j-invariant |
L |
8.1857844983405 |
L(r)(E,1)/r! |
Ω |
0.98903725601399 |
Real period |
R |
2.7588392815162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31720d1 |
Quadratic twists by: -4 |