Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520cn |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
261619974144000 = 221 · 36 · 53 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 6 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-340001,-76417185] |
[a1,a2,a3,a4,a6] |
Generators |
[679:2496:1] |
Generators of the group modulo torsion |
j |
16581570075765001/998001000 |
j-invariant |
L |
8.0874825890014 |
L(r)(E,1)/r! |
Ω |
0.1977110616025 |
Real period |
R |
3.4087970443035 |
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 |
35520e2 8880s2 106560fy2 |
Quadratic twists by: -4 8 -3 |