Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4200d |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5040000000 = 210 · 32 · 57 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168008,26562012] |
[a1,a2,a3,a4,a6] |
j |
32779037733124/315 |
j-invariant |
L |
1.9041768218204 |
L(r)(E,1)/r! |
Ω |
0.95208841091022 |
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 |
8400w3 33600dc4 12600ce3 840j4 |
Quadratic twists by: -4 8 -3 5 |