Atkin-Lehner |
2+ 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
116064d |
Isogeny class |
Conductor |
116064 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-34368923676672 = -1 · 212 · 36 · 135 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 3 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110280,-14098736] |
[a1,a2,a3,a4,a6] |
Generators |
[2168:99684:1] |
Generators of the group modulo torsion |
j |
-49673699776000/11510083 |
j-invariant |
L |
9.3684630941964 |
L(r)(E,1)/r! |
Ω |
0.13099035906763 |
Real period |
R |
3.5760124359515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116064q1 12896e1 |
Quadratic twists by: -4 -3 |