Atkin-Lehner |
2- 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17556h |
Isogeny class |
Conductor |
17556 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
472320 |
Modular degree for the optimal curve |
Δ |
-3.6763507982205E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-492689,-320489406] |
[a1,a2,a3,a4,a6] |
Generators |
[995:13167:1] |
Generators of the group modulo torsion |
j |
-826652929853217390592/2297719248887827611 |
j-invariant |
L |
3.6247035241807 |
L(r)(E,1)/r! |
Ω |
0.083556860172958 |
Real period |
R |
0.24100046075596 |
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 |
70224cf1 52668v1 122892bf1 |
Quadratic twists by: -4 -3 -7 |