Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400br |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11219310000000000 = 210 · 310 · 510 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7389075,-7730954750] |
[a1,a2,a3,a4,a6] |
j |
3825131988299044/961875 |
j-invariant |
L |
0.73255802360429 |
L(r)(E,1)/r! |
Ω |
0.091569752963418 |
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 |
34200bg4 22800ba4 13680k3 |
Quadratic twists by: -4 -3 5 |