Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23400bg |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-49280400000000 = -1 · 210 · 36 · 58 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,337750] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:500:1] |
Generators of the group modulo torsion |
j |
-4/4225 |
j-invariant |
L |
5.2394075445057 |
L(r)(E,1)/r! |
Ω |
0.50487167666876 |
Real period |
R |
1.2972126845866 |
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 |
46800m2 2600a2 4680e2 |
Quadratic twists by: -4 -3 5 |