Atkin-Lehner |
2+ 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125856q |
Isogeny class |
Conductor |
125856 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
86284859904 = 29 · 36 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 5 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2979,-60966] |
[a1,a2,a3,a4,a6] |
Generators |
[-36322:3338:1331] |
Generators of the group modulo torsion |
j |
7833173256/231173 |
j-invariant |
L |
5.246044618229 |
L(r)(E,1)/r! |
Ω |
0.64738961364416 |
Real period |
R |
8.1033809001187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999772965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125856k1 13984l1 |
Quadratic twists by: -4 -3 |