Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10350bt |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-893865735521280000 = -1 · 213 · 315 · 54 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 0 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,207670,27193097] |
[a1,a2,a3,a4,a6] |
j |
2173899265153175/1961845235712 |
j-invariant |
L |
4.7561702721752 |
L(r)(E,1)/r! |
Ω |
0.18292962585289 |
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 |
82800fx1 3450m1 10350u1 |
Quadratic twists by: -4 -3 5 |