Atkin-Lehner |
3- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59565r |
Isogeny class |
Conductor |
59565 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1337600 |
Modular degree for the optimal curve |
Δ |
-9.8833191435374E+18 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11+ 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,220202,-145913869] |
[a1,a2,a3,a4,a6] |
Generators |
[4910:116341:8] |
Generators of the group modulo torsion |
j |
3659383421/30628125 |
j-invariant |
L |
9.2930639015784 |
L(r)(E,1)/r! |
Ω |
0.11373661009794 |
Real period |
R |
4.0853441532584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59565f1 |
Quadratic twists by: -19 |