Atkin-Lehner |
3+ 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11571f |
Isogeny class |
Conductor |
11571 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
373949298513 = 33 · 74 · 193 · 292 |
Discriminant |
Eigenvalues |
1 3+ 2 7- -4 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3384,-71253] |
[a1,a2,a3,a4,a6] |
Generators |
[86:489:1] |
Generators of the group modulo torsion |
j |
4287610120057993/373949298513 |
j-invariant |
L |
5.1374556873605 |
L(r)(E,1)/r! |
Ω |
0.62941188652944 |
Real period |
R |
1.3603851990807 |
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 |
34713n1 80997l1 |
Quadratic twists by: -3 -7 |