Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
123210cj |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9970029990000 = 24 · 39 · 54 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-84728,9512587] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:4037:1] |
Generators of the group modulo torsion |
j |
67468849911/10000 |
j-invariant |
L |
8.844749528563 |
L(r)(E,1)/r! |
Ω |
0.70031517305774 |
Real period |
R |
1.578708756212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999570913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123210t2 123210u2 |
Quadratic twists by: -3 37 |