Atkin-Lehner |
2- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
15008l |
Isogeny class |
Conductor |
15008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1680896 = 29 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 2 2 7+ -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-712,-7080] |
[a1,a2,a3,a4,a6] |
Generators |
[2500592577:-15547937770:45499293] |
Generators of the group modulo torsion |
j |
78073482824/3283 |
j-invariant |
L |
7.3950469439001 |
L(r)(E,1)/r! |
Ω |
0.92412311548862 |
Real period |
R |
16.004462652122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15008e2 30016d2 105056p2 |
Quadratic twists by: -4 8 -7 |