Atkin-Lehner |
3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17775o |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
971848125 = 39 · 54 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 4 3 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-102305,-12569228] |
[a1,a2,a3,a4,a6] |
j |
9625848046875/79 |
j-invariant |
L |
0.533894770886 |
L(r)(E,1)/r! |
Ω |
0.266947385443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17775k1 17775c1 |
Quadratic twists by: -3 5 |