Atkin-Lehner |
2- 3+ 5+ 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119970be |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
164864 |
Modular degree for the optimal curve |
Δ |
456999321600 = 214 · 33 · 52 · 312 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1943,5807] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:46:1] [-226:1659:8] |
Generators of the group modulo torsion |
j |
30030930248787/16925900800 |
j-invariant |
L |
15.796890977554 |
L(r)(E,1)/r! |
Ω |
0.80833156268415 |
Real period |
R |
0.69794958390296 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970f1 |
Quadratic twists by: -3 |