Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
5520q |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
41060373106176000 = 212 · 320 · 53 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-265016,51687216] |
[a1,a2,a3,a4,a6] |
Generators |
[9750:46342:27] |
Generators of the group modulo torsion |
j |
502552788401502649/10024505152875 |
j-invariant |
L |
2.5974521323823 |
L(r)(E,1)/r! |
Ω |
0.36236716516793 |
Real period |
R |
7.1680118456057 |
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 |
345c3 22080dc3 16560bx3 27600cq3 |
Quadratic twists by: -4 8 -3 5 |