Atkin-Lehner |
3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16905w |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
12848640 |
Modular degree for the optimal curve |
Δ |
-4.2852219078481E+25 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 6 -7 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-231628700,1392861348281] |
[a1,a2,a3,a4,a6] |
Generators |
[-94630:12592841:8] |
Generators of the group modulo torsion |
j |
-238405627771890579460096/7433425555969921875 |
j-invariant |
L |
12.398203840405 |
L(r)(E,1)/r! |
Ω |
0.063928583476255 |
Real period |
R |
2.4242293443375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50715j1 84525h1 16905e1 |
Quadratic twists by: -3 5 -7 |