Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4662a |
Isogeny class |
Conductor |
4662 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7244748 = -1 · 22 · 33 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,48,-36] |
[a1,a2,a3,a4,a6] |
Generators |
[6:18:1] |
Generators of the group modulo torsion |
j |
447697125/268324 |
j-invariant |
L |
2.6895975601607 |
L(r)(E,1)/r! |
Ω |
1.3720493739628 |
Real period |
R |
0.49006938292471 |
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 |
37296bi2 4662j2 116550dh2 32634b2 |
Quadratic twists by: -4 -3 5 -7 |