Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
33300r |
Isogeny class |
Conductor |
33300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-35928036000000 = -1 · 28 · 38 · 56 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8025,-81250] |
[a1,a2,a3,a4,a6] |
j |
19600688/12321 |
j-invariant |
L |
4.4976453241472 |
L(r)(E,1)/r! |
Ω |
0.37480377701185 |
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 |
11100c2 1332d2 |
Quadratic twists by: -3 5 |