Atkin-Lehner |
2+ 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390u |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
67445177310000 = 24 · 312 · 54 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19444,964226] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:587:1] [-107:1403:1] |
Generators of the group modulo torsion |
j |
2370032608636783/196633170000 |
j-invariant |
L |
8.1927201964508 |
L(r)(E,1)/r! |
Ω |
0.60363835268724 |
Real period |
R |
0.56550969632632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54390o2 |
Quadratic twists by: -7 |