Atkin-Lehner |
2- 3+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52896f |
Isogeny class |
Conductor |
52896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
27611712 = 26 · 33 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-674,6960] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:116:1] |
Generators of the group modulo torsion |
j |
529867914688/431433 |
j-invariant |
L |
3.0923300011046 |
L(r)(E,1)/r! |
Ω |
2.090659376189 |
Real period |
R |
1.4791170844564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52896c1 105792s2 |
Quadratic twists by: -4 8 |