Atkin-Lehner |
2+ 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050be |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-3365941254401250000 = -1 · 24 · 34 · 57 · 74 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-844001,-311293852] |
[a1,a2,a3,a4,a6] |
j |
-4255316133725744641/215420240281680 |
j-invariant |
L |
2.5127834600361 |
L(r)(E,1)/r! |
Ω |
0.078524483269337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12810o4 |
Quadratic twists by: 5 |