Atkin-Lehner |
2+ 3- 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
14214d |
Isogeny class |
Conductor |
14214 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3125104869579912 = 23 · 38 · 232 · 1034 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 2 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-274853,-55419928] |
[a1,a2,a3,a4,a6] |
Generators |
[-300:391:1] |
Generators of the group modulo torsion |
j |
2296269649209999045961/3125104869579912 |
j-invariant |
L |
3.8207462917002 |
L(r)(E,1)/r! |
Ω |
0.20852595425811 |
Real period |
R |
2.2903301805365 |
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 |
113712k2 42642l2 |
Quadratic twists by: -4 -3 |