Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610be |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2313151512408000 = -1 · 26 · 32 · 53 · 113 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,18094,-2114364] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2638:1] |
Generators of the group modulo torsion |
j |
655127711084516831/2313151512408000 |
j-invariant |
L |
5.8803292339245 |
L(r)(E,1)/r! |
Ω |
0.23445886471998 |
Real period |
R |
4.1800717302426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880bi3 16830bh3 28050h3 61710bd3 |
Quadratic twists by: -4 -3 5 -11 |