Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550by |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
Δ |
32561478432000000 = 211 · 32 · 56 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2463138,1486874031] |
[a1,a2,a3,a4,a6] |
Generators |
[865:-2533:1] |
Generators of the group modulo torsion |
j |
105771808529903265625/2083934619648 |
j-invariant |
L |
7.5518648813574 |
L(r)(E,1)/r! |
Ω |
0.34030111286468 |
Real period |
R |
0.1681190434684 |
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 |
97650bo2 1302d2 |
Quadratic twists by: -3 5 |