Atkin-Lehner |
2- 3- 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
63036g |
Isogeny class |
Conductor |
63036 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-183812976 = -1 · 24 · 38 · 17 · 103 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 -3 1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57,673] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:27:1] [-1:27:1] |
Generators of the group modulo torsion |
j |
-1755904/15759 |
j-invariant |
L |
9.7189083958838 |
L(r)(E,1)/r! |
Ω |
1.5375197766998 |
Real period |
R |
0.5267633270561 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21012f1 |
Quadratic twists by: -3 |