Atkin-Lehner |
3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2805d |
Isogeny class |
Conductor |
2805 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
2613369421265625 = 314 · 56 · 112 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-91854,10421227] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:3576:1] |
Generators of the group modulo torsion |
j |
85705982088578117209/2613369421265625 |
j-invariant |
L |
4.4141196569383 |
L(r)(E,1)/r! |
Ω |
0.45366984151111 |
Real period |
R |
1.3899723206624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44880z2 8415n2 14025h2 30855l2 |
Quadratic twists by: -4 -3 5 -11 |