Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52052h |
Isogeny class |
Conductor |
52052 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
868608 |
Modular degree for the optimal curve |
Δ |
-7340906362949775616 = -1 · 28 · 74 · 114 · 138 |
Discriminant |
Eigenvalues |
2- -2 1 7- 11+ 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53460,130425556] |
[a1,a2,a3,a4,a6] |
Generators |
[4842:143143:8] |
Generators of the group modulo torsion |
j |
-80915536/35153041 |
j-invariant |
L |
4.7714644471904 |
L(r)(E,1)/r! |
Ω |
0.19079002408044 |
Real period |
R |
1.0420409536167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52052d1 |
Quadratic twists by: 13 |