Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440d |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
597506595840 = 210 · 39 · 5 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2187,12906] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:154:1] |
Generators of the group modulo torsion |
j |
57395628/29645 |
j-invariant |
L |
6.6081613419244 |
L(r)(E,1)/r! |
Ω |
0.80743624162171 |
Real period |
R |
2.046031934519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000212 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720z2 55440b2 |
Quadratic twists by: -4 -3 |