Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800de |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
98496000000 = 212 · 34 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40608,-3163212] |
[a1,a2,a3,a4,a6] |
j |
115714886617/1539 |
j-invariant |
L |
2.6905192081305 |
L(r)(E,1)/r! |
Ω |
0.33631490101632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1425a3 91200ez4 68400ex4 912g3 |
Quadratic twists by: -4 8 -3 5 |