Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49368a |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
727100657431391232 = 210 · 322 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-653528,199386684] |
[a1,a2,a3,a4,a6] |
Generators |
[1530:72159:8] |
Generators of the group modulo torsion |
j |
22648474892511500/533478013353 |
j-invariant |
L |
4.4359705875549 |
L(r)(E,1)/r! |
Ω |
0.2847099854253 |
Real period |
R |
7.7903319424236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736u2 49368t2 |
Quadratic twists by: -4 -11 |