Atkin-Lehner |
2- 5- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121030bg |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
228200448 |
Modular degree for the optimal curve |
Δ |
-1.0312174460561E+27 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 3 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-46789048510,3895507397665372] |
[a1,a2,a3,a4,a6] |
Generators |
[3370818:-2500034:27] |
Generators of the group modulo torsion |
j |
-280720412092243897560851930263/25554529637365625000 |
j-invariant |
L |
15.13198110012 |
L(r)(E,1)/r! |
Ω |
0.03777181909342 |
Real period |
R |
2.0865397331382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121030y1 |
Quadratic twists by: -7 |