Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74592x |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5408175403008 = 212 · 39 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5724,-123552] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:189:1] |
Generators of the group modulo torsion |
j |
257259456/67081 |
j-invariant |
L |
7.3206971069233 |
L(r)(E,1)/r! |
Ω |
0.55948918467667 |
Real period |
R |
1.6355760991137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74592a2 74592d2 |
Quadratic twists by: -4 -3 |