Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13776y |
Isogeny class |
Conductor |
13776 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-30012062976 = -1 · 28 · 35 · 7 · 413 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3260,-73224] |
[a1,a2,a3,a4,a6] |
Generators |
[139:1476:1] |
Generators of the group modulo torsion |
j |
-14971653224656/117234621 |
j-invariant |
L |
6.4198228974361 |
L(r)(E,1)/r! |
Ω |
0.31575556893097 |
Real period |
R |
1.3554414720583 |
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 |
3444a1 55104cf1 41328by1 96432z1 |
Quadratic twists by: -4 8 -3 -7 |