Atkin-Lehner |
2- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59774z |
Isogeny class |
Conductor |
59774 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
3655680 |
Modular degree for the optimal curve |
Δ |
-6.0579210745859E+21 |
Discriminant |
Eigenvalues |
2- -1 3 -1 11- 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,537661,-3741425247] |
[a1,a2,a3,a4,a6] |
Generators |
[50421:1634654:27] |
Generators of the group modulo torsion |
j |
9702712366430903/3419538516927104 |
j-invariant |
L |
9.1264003324343 |
L(r)(E,1)/r! |
Ω |
0.063040281566613 |
Real period |
R |
1.2925976094807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5434e1 |
Quadratic twists by: -11 |