Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360r |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-2.8597161464202E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8309761,-9569487935] |
[a1,a2,a3,a4,a6] |
Generators |
[5401:321048:1] |
Generators of the group modulo torsion |
j |
-1936597775351996897288/87271610913703125 |
j-invariant |
L |
5.1056078606863 |
L(r)(E,1)/r! |
Ω |
0.044343531597667 |
Real period |
R |
0.95948001047485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002483 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360cd2 43680ck2 |
Quadratic twists by: -4 8 |