Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610be |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
13992628953600 = 29 · 312 · 52 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45586,3738116] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:2522:1] |
Generators of the group modulo torsion |
j |
10476561483361670689/13992628953600 |
j-invariant |
L |
5.8803292339245 |
L(r)(E,1)/r! |
Ω |
0.70337659415993 |
Real period |
R |
0.6966786217071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
44880bi2 16830bh2 28050h2 61710bd2 |
Quadratic twists by: -4 -3 5 -11 |