Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
42600a |
Isogeny class |
Conductor |
42600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
20448000000 = 211 · 32 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-681608,216823212] |
[a1,a2,a3,a4,a6] |
Generators |
[1633:58786:1] |
Generators of the group modulo torsion |
j |
1094405855968514/639 |
j-invariant |
L |
5.3508938242077 |
L(r)(E,1)/r! |
Ω |
0.74491836526246 |
Real period |
R |
7.1831949294499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85200x4 127800bm4 1704d4 |
Quadratic twists by: -4 -3 5 |