Atkin-Lehner |
2- 3- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590bj |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
5079040 |
Modular degree for the optimal curve |
Δ |
-5.1871878371622E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1932323,-3615630109] |
[a1,a2,a3,a4,a6] |
Generators |
[2331:66226:1] |
Generators of the group modulo torsion |
j |
-1094548834209334320361/7115484001594245120 |
j-invariant |
L |
8.8760580976845 |
L(r)(E,1)/r! |
Ω |
0.057036465045108 |
Real period |
R |
1.9452595130638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530q1 |
Quadratic twists by: -3 |