Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864cp |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-816322174976 = -1 · 213 · 77 · 112 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 11- -7 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2336,-2176] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-392:1] [5:98:1] |
Generators of the group modulo torsion |
j |
24167/14 |
j-invariant |
L |
7.5347679155972 |
L(r)(E,1)/r! |
Ω |
0.53110134931623 |
Real period |
R |
0.88669139198014 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858bg1 13552p1 94864co1 |
Quadratic twists by: -4 -7 -11 |