Atkin-Lehner |
3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
32025l |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
86535052734375 = 35 · 59 · 72 · 612 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 0 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-160888,24767906] |
[a1,a2,a3,a4,a6] |
Generators |
[10:4807:1] |
Generators of the group modulo torsion |
j |
235811402242541/44305947 |
j-invariant |
L |
2.7826337055848 |
L(r)(E,1)/r! |
Ω |
0.58758259512509 |
Real period |
R |
2.3678660061334 |
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 |
96075by2 32025bh2 |
Quadratic twists by: -3 5 |