Atkin-Lehner |
5- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59675q |
Isogeny class |
Conductor |
59675 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
227136 |
Modular degree for the optimal curve |
Δ |
-233613928095625 = -1 · 54 · 77 · 114 · 31 |
Discriminant |
Eigenvalues |
1 2 5- 7- 11+ 3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47575,4041450] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:2568:1] |
Generators of the group modulo torsion |
j |
-19054359247215625/373782284953 |
j-invariant |
L |
11.223336732032 |
L(r)(E,1)/r! |
Ω |
0.55775134937959 |
Real period |
R |
1.4373195337084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59675b1 |
Quadratic twists by: 5 |