Atkin-Lehner |
7- 31+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
101773c |
Isogeny class |
Conductor |
101773 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3.6946308417186E+24 |
Discriminant |
Eigenvalues |
0 2 0 7- 0 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4251312193,106693642625765] |
[a1,a2,a3,a4,a6] |
Generators |
[-1271418252:1689613386193:140608] |
Generators of the group modulo torsion |
j |
-72227813363312529108533248000/31403843991182534347 |
j-invariant |
L |
8.3816617062601 |
L(r)(E,1)/r! |
Ω |
0.064144636013987 |
Real period |
R |
10.889013520785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14539e2 |
Quadratic twists by: -7 |