Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
105800u |
Isogeny class |
Conductor |
105800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-54477207152000000 = -1 · 210 · 56 · 237 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -6 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,66125,-9125250] |
[a1,a2,a3,a4,a6] |
Generators |
[42740670:15087450300:343] |
Generators of the group modulo torsion |
j |
13500/23 |
j-invariant |
L |
7.5137388717204 |
L(r)(E,1)/r! |
Ω |
0.18603888906837 |
Real period |
R |
10.097000313002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999828375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4232a1 4600i1 |
Quadratic twists by: 5 -23 |