Atkin-Lehner |
2+ 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150br |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-16018635937500 = -1 · 22 · 36 · 58 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -3 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1008,191916] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:146:1] |
Generators of the group modulo torsion |
j |
397535/56252 |
j-invariant |
L |
4.5147142524328 |
L(r)(E,1)/r! |
Ω |
0.5364245766301 |
Real period |
R |
4.2081538902995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998104783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14350w1 129150de1 |
Quadratic twists by: -3 5 |