Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488bf |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4723006869504 = 212 · 34 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6729,187209] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:588:1] [-16:539:1] |
Generators of the group modulo torsion |
j |
69934528/9801 |
j-invariant |
L |
8.3731116239514 |
L(r)(E,1)/r! |
Ω |
0.741562691658 |
Real period |
R |
2.822792906542 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001048 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103488ef2 51744bq1 2112k2 |
Quadratic twists by: -4 8 -7 |