Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bq |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-381941347894419456 = -1 · 213 · 32 · 119 · 133 |
Discriminant |
Eigenvalues |
2- 3+ -3 5 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1194552,-503003664] |
[a1,a2,a3,a4,a6] |
Generators |
[439887:2924328:343] |
Generators of the group modulo torsion |
j |
-25979045828113/52635726 |
j-invariant |
L |
4.9100801850295 |
L(r)(E,1)/r! |
Ω |
0.072196398982352 |
Real period |
R |
8.501255353838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9438l2 6864s2 |
Quadratic twists by: -4 -11 |