Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11400u |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-323116128000000 = -1 · 211 · 312 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14192,-574388] |
[a1,a2,a3,a4,a6] |
j |
9878111854/10097379 |
j-invariant |
L |
1.1785778448372 |
L(r)(E,1)/r! |
Ω |
0.29464446120931 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22800bb3 91200dm3 34200p3 456b4 |
Quadratic twists by: -4 8 -3 5 |