Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400c |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
160800000000 = 211 · 3 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5360008,4778138512] |
[a1,a2,a3,a4,a6] |
Generators |
[1386:3122:1] |
Generators of the group modulo torsion |
j |
532194189377299202/5025 |
j-invariant |
L |
4.3239000146709 |
L(r)(E,1)/r! |
Ω |
0.50997024459567 |
Real period |
R |
4.2393650037043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975304 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40200n4 16080l3 |
Quadratic twists by: -4 5 |