Atkin-Lehner |
2+ 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
10318f |
Isogeny class |
Conductor |
10318 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
106823409616 = 24 · 77 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ -3 -1 7- 11- -5 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1195,2677] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:101:1] [1:38:1] |
Generators of the group modulo torsion |
j |
188812976774409/106823409616 |
j-invariant |
L |
2.9823335860391 |
L(r)(E,1)/r! |
Ω |
0.91103009348718 |
Real period |
R |
0.11691371618634 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82544t1 92862bv1 72226h1 113498s1 |
Quadratic twists by: -4 -3 -7 -11 |