Atkin-Lehner |
2- 7- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76342t |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
184 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
102250923471929344 = 223 · 77 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -2 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-127107,8207681] |
[a1,a2,a3,a4,a6] |
Generators |
[10650:-124493:27] [-248:5073:1] |
Generators of the group modulo torsion |
j |
1930385697873697/869118509056 |
j-invariant |
L |
15.079437271462 |
L(r)(E,1)/r! |
Ω |
0.30143713593758 |
Real period |
R |
0.27187580314898 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999878 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906h1 |
Quadratic twists by: -7 |