Atkin-Lehner |
2- 5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
108290z |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
553788337356800 = 216 · 52 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77503,-8207769] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:342:1] |
Generators of the group modulo torsion |
j |
437608510454961/4707123200 |
j-invariant |
L |
8.5535616738329 |
L(r)(E,1)/r! |
Ω |
0.28632059035212 |
Real period |
R |
0.93356472020035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018242 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2210g1 |
Quadratic twists by: -7 |