Atkin-Lehner |
3- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
112677k |
Isogeny class |
Conductor |
112677 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-209917251 = -1 · 35 · 233 · 71 |
Discriminant |
Eigenvalues |
0 3- -3 -4 -2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-107,782] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:119:8] [-8:34:1] |
Generators of the group modulo torsion |
j |
-11239424/17253 |
j-invariant |
L |
7.9968984509358 |
L(r)(E,1)/r! |
Ω |
1.5970390472033 |
Real period |
R |
0.50073280712603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112677j1 |
Quadratic twists by: -23 |