Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5550v |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-17095387500000 = -1 · 25 · 33 · 58 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 7 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3162,-185469] |
[a1,a2,a3,a4,a6] |
j |
223759095911/1094104800 |
j-invariant |
L |
3.4900314868157 |
L(r)(E,1)/r! |
Ω |
0.34900314868157 |
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 |
44400ch1 16650k1 1110g1 |
Quadratic twists by: -4 -3 5 |