Atkin-Lehner |
2+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3362c |
Isogeny class |
Conductor |
3362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1102736 = 24 · 413 |
Discriminant |
Eigenvalues |
2+ -2 2 2 6 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3500,-79974] |
[a1,a2,a3,a4,a6] |
Generators |
[222:3066:1] |
Generators of the group modulo torsion |
j |
68769820673/16 |
j-invariant |
L |
2.2900427422139 |
L(r)(E,1)/r! |
Ω |
0.62072239552607 |
Real period |
R |
3.689318701435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26896c2 107584c2 30258t2 84050k2 |
Quadratic twists by: -4 8 -3 5 |