Atkin-Lehner |
2- 3- 5- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130by |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
646735468953600 = 218 · 38 · 52 · 132 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33062,1972149] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:1947:1] |
Generators of the group modulo torsion |
j |
5482406498859289/887154278400 |
j-invariant |
L |
13.077472047751 |
L(r)(E,1)/r! |
Ω |
0.4895627023165 |
Real period |
R |
0.74201549717146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013256 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34710b1 |
Quadratic twists by: -3 |