Atkin-Lehner |
2- 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116288r |
Isogeny class |
Conductor |
116288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
10955259904 = 218 · 232 · 79 |
Discriminant |
Eigenvalues |
2- 1 1 -3 0 1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1505,21407] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:92:1] [17:32:1] |
Generators of the group modulo torsion |
j |
1439069689/41791 |
j-invariant |
L |
13.396294846223 |
L(r)(E,1)/r! |
Ω |
1.2739449929392 |
Real period |
R |
2.6288997794296 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116288o1 29072g1 |
Quadratic twists by: -4 8 |