Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9114s |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2882216026368 = 28 · 32 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-97952,11758529] |
[a1,a2,a3,a4,a6] |
Generators |
[189:109:1] |
Generators of the group modulo torsion |
j |
883437180088177/24498432 |
j-invariant |
L |
6.1877034454194 |
L(r)(E,1)/r! |
Ω |
0.74736680315497 |
Real period |
R |
2.0698348586325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72912cz1 27342i1 1302o1 |
Quadratic twists by: -4 -3 -7 |