Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800by |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
55404000000 = 28 · 36 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2308,-40388] |
[a1,a2,a3,a4,a6] |
Generators |
[57:100:1] |
Generators of the group modulo torsion |
j |
340062928/13851 |
j-invariant |
L |
3.8993571138044 |
L(r)(E,1)/r! |
Ω |
0.69050169191283 |
Real period |
R |
2.8235681095888 |
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 |
5700j2 91200hi2 68400ez2 912j2 |
Quadratic twists by: -4 8 -3 5 |