Atkin-Lehner |
2- 3- 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
123504bg |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-3704036041949184 = -1 · 218 · 311 · 312 · 83 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 3 -4 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,976,2928468] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:1674:1] |
Generators of the group modulo torsion |
j |
25076571983/904305674304 |
j-invariant |
L |
9.671080465378 |
L(r)(E,1)/r! |
Ω |
0.34997136921429 |
Real period |
R |
0.62804361428215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15438k1 |
Quadratic twists by: -4 |