Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190bn |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
2.3971926990229E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-49648541,-112188819181] |
[a1,a2,a3,a4,a6] |
Generators |
[-24291267:16967812:9261] |
Generators of the group modulo torsion |
j |
7639889435562537422569/1353152783913696480 |
j-invariant |
L |
7.4045270674316 |
L(r)(E,1)/r! |
Ω |
0.057565897073782 |
Real period |
R |
6.4313486315807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290d4 |
Quadratic twists by: -11 |