Atkin-Lehner |
2- 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
105152o |
Isogeny class |
Conductor |
105152 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[-198:1984:1] [112:124:1] |
Generators of the group modulo torsion |
j |
-31749616004625/203732 |
j-invariant |
L |
5.8482903346779 |
L(r)(E,1)/r! |
Ω |
0.9999578901785 |
Real period |
R |
0.73106707667488 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105152k1 26288e1 |
Quadratic twists by: -4 8 |