Atkin-Lehner |
2+ 3- 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104550s |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
38250803006668800 = 217 · 35 · 52 · 17 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-84636,-1135142] |
[a1,a2,a3,a4,a6] |
j |
2681894667980937505/1530032120266752 |
j-invariant |
L |
3.0290937636667 |
L(r)(E,1)/r! |
Ω |
0.30290936935875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550bs1 |
Quadratic twists by: 5 |