Atkin-Lehner |
3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905v |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
62760984589004625 = 39 · 53 · 7 · 118 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-119228,-10256538] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:2322:1] |
Generators of the group modulo torsion |
j |
257115077945502841/86091885581625 |
j-invariant |
L |
2.318101166245 |
L(r)(E,1)/r! |
Ω |
0.26385249808986 |
Real period |
R |
2.1963987292403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635j1 |
Quadratic twists by: -3 |