Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1848h |
Isogeny class |
Conductor |
1848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
89413632 = 211 · 34 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-448,-3476] |
[a1,a2,a3,a4,a6] |
Generators |
[25:18:1] |
Generators of the group modulo torsion |
j |
4866277250/43659 |
j-invariant |
L |
2.6043498580626 |
L(r)(E,1)/r! |
Ω |
1.038088593794 |
Real period |
R |
2.5087934436735 |
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 |
3696k2 14784bi2 5544i2 46200bc2 |
Quadratic twists by: -4 8 -3 5 |