Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080p |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
9449395200 = 210 · 35 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-196862400,-1063210074300] |
[a1,a2,a3,a4,a6] |
Generators |
[25755:3309240:1] |
Generators of the group modulo torsion |
j |
823971298046581356125126404/9227925 |
j-invariant |
L |
7.0503613319364 |
L(r)(E,1)/r! |
Ω |
0.040304993982124 |
Real period |
R |
8.7462627274587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040d4 |
Quadratic twists by: -4 |