Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472bp |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-23115456 = -1 · 26 · 34 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -2 13+ -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105,-441] |
[a1,a2,a3,a4,a6] |
j |
-2019487744/361179 |
j-invariant |
L |
1.4758779429345 |
L(r)(E,1)/r! |
Ω |
0.73793897146727 |
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 |
17472bf1 4368w1 52416ep1 122304ic1 |
Quadratic twists by: -4 8 -3 -7 |