Atkin-Lehner |
2+ 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
3066c |
Isogeny class |
Conductor |
3066 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
35390159457408 = 27 · 32 · 78 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9795,235341] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:789:1] |
Generators of the group modulo torsion |
j |
103945647763581625/35390159457408 |
j-invariant |
L |
2.2222629795666 |
L(r)(E,1)/r! |
Ω |
0.60017240141776 |
Real period |
R |
0.46283846406405 |
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 |
24528o2 98112ba2 9198l2 76650co2 |
Quadratic twists by: -4 8 -3 5 |