Atkin-Lehner |
2- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
38192o |
Isogeny class |
Conductor |
38192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-413097030320128 = -1 · 222 · 7 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11+ 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18408,-1365136] |
[a1,a2,a3,a4,a6] |
Generators |
[112445340:-2461454963:216000] |
Generators of the group modulo torsion |
j |
-168425239515625/100853767168 |
j-invariant |
L |
8.3603680802375 |
L(r)(E,1)/r! |
Ω |
0.19947118704159 |
Real period |
R |
10.478165047584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4774c1 |
Quadratic twists by: -4 |