Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192cd |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-40204142385278976 = -1 · 212 · 39 · 133 · 613 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -6 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69216,-6628624] |
[a1,a2,a3,a4,a6] |
Generators |
[745:-21411:1] |
Generators of the group modulo torsion |
j |
12281622069248/13464285939 |
j-invariant |
L |
2.9918268749102 |
L(r)(E,1)/r! |
Ω |
0.19607524054663 |
Real period |
R |
0.42384903487138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7137f2 38064y2 |
Quadratic twists by: -4 -3 |