Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2240c |
Isogeny class |
Conductor |
2240 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-28098560 = -1 · 214 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -3 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3221,-69299] |
[a1,a2,a3,a4,a6] |
j |
-225637236736/1715 |
j-invariant |
L |
0.95056473647073 |
L(r)(E,1)/r! |
Ω |
0.31685491215691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2240p2 140a2 20160cj2 11200d2 |
Quadratic twists by: -4 8 -3 5 |