Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038l |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-7964676506304 = -1 · 26 · 316 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 4 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12105,-527283] |
[a1,a2,a3,a4,a6] |
Generators |
[1074:34455:1] |
Generators of the group modulo torsion |
j |
-5491799407969/222969024 |
j-invariant |
L |
3.908400921971 |
L(r)(E,1)/r! |
Ω |
0.22703609739925 |
Real period |
R |
2.1518609632756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17346bb1 52038c1 |
Quadratic twists by: -3 -7 |