Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
12600d |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
551124000000 = 28 · 39 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24975,-1518750] |
[a1,a2,a3,a4,a6] |
j |
21882096/7 |
j-invariant |
L |
1.5191179982714 |
L(r)(E,1)/r! |
Ω |
0.37977949956786 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25200e2 100800v2 12600bl2 504d2 |
Quadratic twists by: -4 8 -3 5 |