Atkin-Lehner |
2+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104690o |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1108800 |
Modular degree for the optimal curve |
Δ |
-4050356317343750 = -1 · 2 · 57 · 197 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 -4 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-796013,273306406] |
[a1,a2,a3,a4,a6] |
Generators |
[-350:22737:1] |
Generators of the group modulo torsion |
j |
-1185664463338321/86093750 |
j-invariant |
L |
5.6030283053816 |
L(r)(E,1)/r! |
Ω |
0.4181592613697 |
Real period |
R |
0.47854531200371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999782229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5510k1 |
Quadratic twists by: -19 |