Atkin-Lehner |
3- 7- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
71757p |
Isogeny class |
Conductor |
71757 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
238080 |
Modular degree for the optimal curve |
Δ |
-547921311273 = -1 · 37 · 72 · 17 · 673 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -3 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-288950,-59711290] |
[a1,a2,a3,a4,a6] |
j |
-3659846503327449625/751606737 |
j-invariant |
L |
0.82367136404791 |
L(r)(E,1)/r! |
Ω |
0.10295892427891 |
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 |
23919d1 |
Quadratic twists by: -3 |