Atkin-Lehner |
2- 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
104720bc |
Isogeny class |
Conductor |
104720 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
1987200 |
Modular degree for the optimal curve |
Δ |
-4906257664000000000 = -1 · 217 · 59 · 7 · 115 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,408760,-35062412] |
[a1,a2,a3,a4,a6] |
Generators |
[2046:-96800:1] |
Generators of the group modulo torsion |
j |
1844029536932915639/1197816812500000 |
j-invariant |
L |
3.6100242589952 |
L(r)(E,1)/r! |
Ω |
0.13898397081122 |
Real period |
R |
0.14430218182362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13090i1 |
Quadratic twists by: -4 |