Atkin-Lehner |
2+ 3- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
28386c |
Isogeny class |
Conductor |
28386 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7392 |
Modular degree for the optimal curve |
Δ |
-87372108 = -1 · 22 · 36 · 192 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -1 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3,449] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:21:1] |
Generators of the group modulo torsion |
j |
3375/119852 |
j-invariant |
L |
4.2950562144868 |
L(r)(E,1)/r! |
Ω |
1.5122726426979 |
Real period |
R |
0.71003337844299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3154d1 |
Quadratic twists by: -3 |