Atkin-Lehner |
2+ 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270m |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6103381957200 = 24 · 33 · 52 · 117 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2223302402,40349294791524] |
[a1,a2,a3,a4,a6] |
Generators |
[111505168:-55528479:4096] |
Generators of the group modulo torsion |
j |
686061759894693947662233601/3445200 |
j-invariant |
L |
4.9020034641739 |
L(r)(E,1)/r! |
Ω |
0.16355490279659 |
Real period |
R |
7.4929020620891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999805315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9570u3 |
Quadratic twists by: -11 |