Atkin-Lehner |
2- 3- 5- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130ca |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
1100 |
Product of Tamagawa factors cp |
deg |
1076275200 |
Modular degree for the optimal curve |
Δ |
-2.2068104699021E+28 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 2 3 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1214111010137,514915500877070649] |
[a1,a2,a3,a4,a6] |
Generators |
[636257:-447504:1] |
Generators of the group modulo torsion |
j |
-271500964260048533020855617889433980489/30271748558327550000000000 |
j-invariant |
L |
11.86513305765 |
L(r)(E,1)/r! |
Ω |
0.021588984677802 |
Real period |
R |
0.49962907885362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40710d1 |
Quadratic twists by: -3 |