Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086bm |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.4053740847346E+25 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1957844039,33343813982715] |
[a1,a2,a3,a4,a6] |
Generators |
[15238127814:315546422349:551368] |
Generators of the group modulo torsion |
j |
43060118286713527/729137052 |
j-invariant |
L |
12.844014909978 |
L(r)(E,1)/r! |
Ω |
0.064637234154397 |
Real period |
R |
16.559102284828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40362h2 121086bk2 |
Quadratic twists by: -3 -31 |