Atkin-Lehner |
3- 5+ 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
67545g |
Isogeny class |
Conductor |
67545 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2804389245703125 = 314 · 58 · 19 · 79 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81540,-8571825] |
[a1,a2,a3,a4,a6] |
Generators |
[23558:1260205:8] |
Generators of the group modulo torsion |
j |
82245340153419841/3846898828125 |
j-invariant |
L |
5.3427704828837 |
L(r)(E,1)/r! |
Ω |
0.28334347605843 |
Real period |
R |
9.4280809948246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22515f3 |
Quadratic twists by: -3 |