Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7644h |
Isogeny class |
Conductor |
7644 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2103901955221248 = 28 · 310 · 77 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-305188,-64957516] |
[a1,a2,a3,a4,a6] |
Generators |
[-325:78:1] |
Generators of the group modulo torsion |
j |
104375673106000/69854967 |
j-invariant |
L |
4.9309661175255 |
L(r)(E,1)/r! |
Ω |
0.20313044488173 |
Real period |
R |
2.427487479977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30576bx2 122304i2 22932t2 1092a2 |
Quadratic twists by: -4 8 -3 -7 |