Atkin-Lehner |
2- 3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
57420o |
Isogeny class |
Conductor |
57420 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-2640267778500000000 = -1 · 28 · 39 · 59 · 11 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1336647,599918686] |
[a1,a2,a3,a4,a6] |
Generators |
[-493:33750:1] |
Generators of the group modulo torsion |
j |
-1415162795372866384/14147525390625 |
j-invariant |
L |
7.7978789565511 |
L(r)(E,1)/r! |
Ω |
0.25729537159097 |
Real period |
R |
0.84186414800901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
19140g2 |
Quadratic twists by: -3 |