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 |
1837500000000000 = 211 · 3 · 514 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-162008,-24959988] |
[a1,a2,a3,a4,a6] |
j |
14695548366242/57421875 |
j-invariant |
L |
1.9041768218204 |
L(r)(E,1)/r! |
Ω |
0.23802210272755 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8400w5 33600dc6 12600ce5 840j5 |
Quadratic twists by: -4 8 -3 5 |