Atkin-Lehner |
2- 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038bf |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-699230859264 = -1 · 212 · 310 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -4 -2 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18878,1003853] |
[a1,a2,a3,a4,a6] |
Generators |
[-906:10817:8] [-39:1315:1] |
Generators of the group modulo torsion |
j |
-20827947839209/19574784 |
j-invariant |
L |
12.969742515713 |
L(r)(E,1)/r! |
Ω |
0.89958690115394 |
Real period |
R |
0.3003633876068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17346p1 52038z1 |
Quadratic twists by: -3 -7 |