Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53290a |
Isogeny class |
Conductor |
53290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110081664 |
Modular degree for the optimal curve |
Δ |
6.321288489391E+29 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 0 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17001477400,852399916105536] |
[a1,a2,a3,a4,a6] |
Generators |
[29996586764565320302869575534870666073987144269074032408:46651754482927661514959835341868532798848510738265386211521:12358649969012726025586361826212073288486596732416] |
Generators of the group modulo torsion |
j |
9231620831907236433/10737418240000 |
j-invariant |
L |
4.7162647553468 |
L(r)(E,1)/r! |
Ω |
0.028753566934387 |
Real period |
R |
82.011820761385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53290m1 |
Quadratic twists by: 73 |