Atkin-Lehner |
2+ 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11322i |
Isogeny class |
Conductor |
11322 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-6531034312116 = -1 · 22 · 38 · 173 · 373 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 -3 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10656,443556] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:555:1] [-54:954:1] |
Generators of the group modulo torsion |
j |
-183570015361537/8958894804 |
j-invariant |
L |
4.0052714781321 |
L(r)(E,1)/r! |
Ω |
0.74297194695238 |
Real period |
R |
0.67385980967421 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
90576ca2 3774q2 |
Quadratic twists by: -4 -3 |