Atkin-Lehner |
2+ 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
105152k |
Isogeny class |
Conductor |
105152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
356352 |
Modular degree for the optimal curve |
Δ |
-53407121408 = -1 · 220 · 312 · 53 |
Discriminant |
Eigenvalues |
2+ 3 0 2 2 -5 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42220,-3339088] |
[a1,a2,a3,a4,a6] |
j |
-31749616004625/203732 |
j-invariant |
L |
5.9950427974516 |
L(r)(E,1)/r! |
Ω |
0.16652898482544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105152o1 3286e1 |
Quadratic twists by: -4 8 |