Atkin-Lehner |
3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18963h |
Isogeny class |
Conductor |
18963 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
115605955584441 = 312 · 76 · 432 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13019,-240222] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:429:1] |
Generators of the group modulo torsion |
j |
2845178713/1347921 |
j-invariant |
L |
3.5630322541489 |
L(r)(E,1)/r! |
Ω |
0.46819272738095 |
Real period |
R |
3.8050914140426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6321a2 387d2 |
Quadratic twists by: -3 -7 |