Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280dh |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3630994498656000 = 28 · 39 · 53 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-885087,-320486166] |
[a1,a2,a3,a4,a6] |
j |
129348709488/6125 |
j-invariant |
L |
3.735644496923 |
L(r)(E,1)/r! |
Ω |
0.15565185403886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8820e4 35280cw2 5040v4 |
Quadratic twists by: -4 -3 -7 |