Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1400a |
Isogeny class |
Conductor |
1400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
224000000 = 211 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7475,248750] |
[a1,a2,a3,a4,a6] |
j |
1443468546/7 |
j-invariant |
L |
1.5644395841064 |
L(r)(E,1)/r! |
Ω |
1.5644395841064 |
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 |
2800a3 11200n4 12600cc3 56a4 |
Quadratic twists by: -4 8 -3 5 |