Atkin-Lehner |
2- 13+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
114608f |
Isogeny class |
Conductor |
114608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
2229813248 = 214 · 13 · 192 · 29 |
Discriminant |
Eigenvalues |
2- -2 0 2 -4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-328,-396] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:16:1] |
Generators of the group modulo torsion |
j |
955671625/544388 |
j-invariant |
L |
2.8603143322986 |
L(r)(E,1)/r! |
Ω |
1.2128491423414 |
Real period |
R |
1.1791715273695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999336143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14326b1 |
Quadratic twists by: -4 |