Atkin-Lehner |
2+ 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550a |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8070317887023000000 = -1 · 26 · 32 · 56 · 7 · 716 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23860700,-44871558000] |
[a1,a2,a3,a4,a6] |
Generators |
[82071913207771760:15166608768008098820:2341510516639] |
Generators of the group modulo torsion |
j |
-96150878306977529778625/516500344769472 |
j-invariant |
L |
3.5973443625913 |
L(r)(E,1)/r! |
Ω |
0.034154554236328 |
Real period |
R |
26.33136666978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2982j3 |
Quadratic twists by: 5 |