Atkin-Lehner |
2- 5+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14570h |
Isogeny class |
Conductor |
14570 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-22940499968000000 = -1 · 220 · 56 · 313 · 47 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 2 5 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,52047,-5688863] |
[a1,a2,a3,a4,a6] |
j |
15592603665638756511/22940499968000000 |
j-invariant |
L |
8.0629325465451 |
L(r)(E,1)/r! |
Ω |
0.20157331366363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116560r1 72850f1 |
Quadratic twists by: -4 5 |