Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11088t |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-15532587577584 = -1 · 24 · 37 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ 3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14943,728201] |
[a1,a2,a3,a4,a6] |
Generators |
[40:441:1] |
Generators of the group modulo torsion |
j |
-31636584484096/1331669031 |
j-invariant |
L |
4.4241958525762 |
L(r)(E,1)/r! |
Ω |
0.69283064445862 |
Real period |
R |
0.35476008522763 |
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 |
5544q1 44352et1 3696e1 77616bl1 |
Quadratic twists by: -4 8 -3 -7 |