Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600cc |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
334400000000 = 212 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2408,35188] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:150:1] [-12:250:1] |
Generators of the group modulo torsion |
j |
24137569/5225 |
j-invariant |
L |
7.16442305274 |
L(r)(E,1)/r! |
Ω |
0.90845245517607 |
Real period |
R |
1.9716009935071 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5225a1 16720z1 |
Quadratic twists by: -4 5 |