Atkin-Lehner |
3+ 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17385a |
Isogeny class |
Conductor |
17385 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-10336547295 = -1 · 34 · 5 · 193 · 612 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 0 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,532,-1077] |
[a1,a2,a3,a4,a6] |
Generators |
[12084:161769:64] |
Generators of the group modulo torsion |
j |
16602842507831/10336547295 |
j-invariant |
L |
4.4593370833331 |
L(r)(E,1)/r! |
Ω |
0.74105845730391 |
Real period |
R |
6.0175240419722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52155h1 86925h1 |
Quadratic twists by: -3 5 |