Atkin-Lehner |
2+ 3- 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21318l |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
86854776228 = 22 · 34 · 112 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3231,-69506] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:48:1] |
Generators of the group modulo torsion |
j |
3728561839899625/86854776228 |
j-invariant |
L |
4.7279799829824 |
L(r)(E,1)/r! |
Ω |
0.6341581398109 |
Real period |
R |
0.93194025397045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63954w1 |
Quadratic twists by: -3 |