Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18620p |
Isogeny class |
Conductor |
18620 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-34348990278400 = -1 · 28 · 52 · 710 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -5 0 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12805,-620703] |
[a1,a2,a3,a4,a6] |
Generators |
[567:13194:1] |
Generators of the group modulo torsion |
j |
-3211264/475 |
j-invariant |
L |
7.3810906678739 |
L(r)(E,1)/r! |
Ω |
0.22257928410952 |
Real period |
R |
5.5269374367009 |
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 |
74480co1 93100be1 18620b1 |
Quadratic twists by: -4 5 -7 |