Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960n |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-980589728736000 = -1 · 28 · 32 · 53 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 -4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7759,1486059] |
[a1,a2,a3,a4,a6] |
Generators |
[-26894:217419:343] |
Generators of the group modulo torsion |
j |
1362944/25875 |
j-invariant |
L |
7.9769929965331 |
L(r)(E,1)/r! |
Ω |
0.36913464797887 |
Real period |
R |
5.4024954449991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999741059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63480b1 5520i1 |
Quadratic twists by: -4 -23 |