Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080bw |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-18680644362240 = -1 · 213 · 37 · 5 · 7 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14056,669620] |
[a1,a2,a3,a4,a6] |
Generators |
[164:1674:1] |
Generators of the group modulo torsion |
j |
-74985951512809/4560704190 |
j-invariant |
L |
7.5292611959564 |
L(r)(E,1)/r! |
Ω |
0.67808070281813 |
Real period |
R |
0.2643757932777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6510a1 |
Quadratic twists by: -4 |