Atkin-Lehner |
3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47025u |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
6652800 |
Modular degree for the optimal curve |
Δ |
4.1563052313063E+24 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 11+ 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42758555,-44266115928] |
[a1,a2,a3,a4,a6] |
Generators |
[7010:17271:1] |
Generators of the group modulo torsion |
j |
1214409598355165425/583821201215043 |
j-invariant |
L |
3.4152591774561 |
L(r)(E,1)/r! |
Ω |
0.0619311305703 |
Real period |
R |
2.7573040779429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999824 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15675l1 47025bk1 |
Quadratic twists by: -3 5 |