Atkin-Lehner |
3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16905i |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
171360 |
Modular degree for the optimal curve |
Δ |
-736333574587634835 = -1 · 34 · 5 · 710 · 235 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 0 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,35215,-41218612] |
[a1,a2,a3,a4,a6] |
Generators |
[3324776:129520039:2197] |
Generators of the group modulo torsion |
j |
17096769536/2606718915 |
j-invariant |
L |
3.093137790206 |
L(r)(E,1)/r! |
Ω |
0.13459158357598 |
Real period |
R |
11.490829173801 |
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 |
50715w1 84525ce1 16905s1 |
Quadratic twists by: -3 5 -7 |