Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800ce |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
354585600000000 = 216 · 36 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 6 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-647408,-200282688] |
[a1,a2,a3,a4,a6] |
Generators |
[332766:3140250:343] |
Generators of the group modulo torsion |
j |
468898230633769/5540400 |
j-invariant |
L |
5.4215442772355 |
L(r)(E,1)/r! |
Ω |
0.16830820615159 |
Real period |
R |
8.0530005060368 |
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 |
2850x2 91200hr2 68400fi2 4560z2 |
Quadratic twists by: -4 8 -3 5 |