Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36630bj |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
25040403970560000 = 212 · 310 · 54 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-179438,28293117] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:6015:1] |
Generators of the group modulo torsion |
j |
876470240549871001/34348976640000 |
j-invariant |
L |
8.3410073797867 |
L(r)(E,1)/r! |
Ω |
0.37441043783127 |
Real period |
R |
0.92823794168484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12210h2 |
Quadratic twists by: -3 |