Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11088bc |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-91493197488 = -1 · 24 · 39 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,648,13095] |
[a1,a2,a3,a4,a6] |
Generators |
[13:154:1] |
Generators of the group modulo torsion |
j |
95551488/290521 |
j-invariant |
L |
3.3434783802441 |
L(r)(E,1)/r! |
Ω |
0.75571459922681 |
Real period |
R |
1.1060651678772 |
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 |
2772b1 44352dh1 11088be1 77616dn1 |
Quadratic twists by: -4 8 -3 -7 |