Atkin-Lehner |
2+ 3- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22110f |
Isogeny class |
Conductor |
22110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-270634785977531250 = -1 · 2 · 32 · 56 · 118 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,105357,-21279992] |
[a1,a2,a3,a4,a6] |
Generators |
[614:16275:1] |
Generators of the group modulo torsion |
j |
129336119016315070679/270634785977531250 |
j-invariant |
L |
5.2728343649648 |
L(r)(E,1)/r! |
Ω |
0.16111653758419 |
Real period |
R |
2.7272362622456 |
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 |
66330bm2 110550bj2 |
Quadratic twists by: -3 5 |