Atkin-Lehner |
2- 3- 7- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518bf |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-19206682177536 = -1 · 212 · 37 · 74 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8906,388361] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:783:1] [-69:853:1] |
Generators of the group modulo torsion |
j |
-107151570032473/26346614784 |
j-invariant |
L |
15.594828573275 |
L(r)(E,1)/r! |
Ω |
0.65404128027949 |
Real period |
R |
1.9869832180797 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999432 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37506j1 |
Quadratic twists by: -3 |