Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51376m |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
-1.2845389107104E+20 |
Discriminant |
Eigenvalues |
2- 1 1 -3 -4 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2706760,-1799597708] |
[a1,a2,a3,a4,a6] |
Generators |
[1932:13642:1] [2526:86528:1] |
Generators of the group modulo torsion |
j |
-110931033861649/6497214464 |
j-invariant |
L |
10.574091357669 |
L(r)(E,1)/r! |
Ω |
0.058652231284824 |
Real period |
R |
11.267784624342 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6422a1 3952j1 |
Quadratic twists by: -4 13 |