Atkin-Lehner |
3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17775k |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
1333125 = 33 · 54 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 -4 3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11367,469316] |
[a1,a2,a3,a4,a6] |
Generators |
[44:208:1] [64:-2:1] |
Generators of the group modulo torsion |
j |
9625848046875/79 |
j-invariant |
L |
7.8299301416879 |
L(r)(E,1)/r! |
Ω |
1.8784066842176 |
Real period |
R |
0.69473153386467 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17775o1 17775f1 |
Quadratic twists by: -3 5 |