Atkin-Lehner |
2- 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224bw |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.6907005336233E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81824882144,-9008964621172992] |
[a1,a2,a3,a4,a6] |
j |
14791762650943931754653609276864737/41276868496661952 |
j-invariant |
L |
0.42846904764046 |
L(r)(E,1)/r! |
Ω |
0.0089264383020747 |
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 |
8778s4 |
Quadratic twists by: -4 |