Atkin-Lehner |
2- 3+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
116064l |
Isogeny class |
Conductor |
116064 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51456 |
Modular degree for the optimal curve |
Δ |
-5353800192 = -1 · 29 · 33 · 13 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 -2 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-339,-4262] |
[a1,a2,a3,a4,a6] |
Generators |
[146248:2466357:512] |
Generators of the group modulo torsion |
j |
-311665752/387283 |
j-invariant |
L |
9.8881948043682 |
L(r)(E,1)/r! |
Ω |
0.53133121064276 |
Real period |
R |
9.3051138473624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116064b1 116064a1 |
Quadratic twists by: -4 -3 |