Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984by |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
4327996748544 = 28 · 35 · 72 · 175 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -2 3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14492,668844] |
[a1,a2,a3,a4,a6] |
Generators |
[49:272:1] |
Generators of the group modulo torsion |
j |
26835062456272/345025251 |
j-invariant |
L |
3.2769364397585 |
L(r)(E,1)/r! |
Ω |
0.77983185301507 |
Real period |
R |
4.2021064247264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9996k1 119952gw1 39984cx1 |
Quadratic twists by: -4 -3 -7 |