Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976bf |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-217018368 = -1 · 212 · 32 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,-711] |
[a1,a2,a3,a4,a6] |
Generators |
[11:24:1] |
Generators of the group modulo torsion |
j |
8000/52983 |
j-invariant |
L |
5.2391209575276 |
L(r)(E,1)/r! |
Ω |
0.82034858903354 |
Real period |
R |
1.5966142404477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976bp1 19488h1 116928ep1 |
Quadratic twists by: -4 8 -3 |