Atkin-Lehner |
2- 3- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38352u |
Isogeny class |
Conductor |
38352 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-118268937879552 = -1 · 214 · 312 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -2 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11912,156884] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:192:1] [38:-816:1] |
Generators of the group modulo torsion |
j |
45633245690375/28874252412 |
j-invariant |
L |
9.3586131361304 |
L(r)(E,1)/r! |
Ω |
0.36660608731681 |
Real period |
R |
1.0636544986458 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4794b2 115056x2 |
Quadratic twists by: -4 -3 |