Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2898h |
Isogeny class |
Conductor |
2898 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
469476 = 22 · 36 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -6 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36,-68] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] |
Generators of the group modulo torsion |
j |
7189057/644 |
j-invariant |
L |
2.7363492625838 |
L(r)(E,1)/r! |
Ω |
1.9576682673518 |
Real period |
R |
1.397759420336 |
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 |
23184bq1 92736cf1 322c1 72450eb1 |
Quadratic twists by: -4 8 -3 5 |