Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192be |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-29094127104 = -1 · 29 · 3 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -4 1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,8212] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-98:1] |
Generators of the group modulo torsion |
j |
-8/483 |
j-invariant |
L |
3.3415850061113 |
L(r)(E,1)/r! |
Ω |
0.94047869561834 |
Real period |
R |
0.88826707264165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999244559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108192by1 15456q1 |
Quadratic twists by: -4 -7 |