Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11088ba |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-1629936 = -1 · 24 · 33 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11- 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69,-229] |
[a1,a2,a3,a4,a6] |
Generators |
[10:9:1] |
Generators of the group modulo torsion |
j |
-84098304/3773 |
j-invariant |
L |
3.5483930794153 |
L(r)(E,1)/r! |
Ω |
0.82607614603604 |
Real period |
R |
2.1477397068311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2772c1 44352cx1 11088z2 77616dz1 |
Quadratic twists by: -4 8 -3 -7 |