Atkin-Lehner |
2- 3+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
26316a |
Isogeny class |
Conductor |
26316 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-62617764096 = -1 · 28 · 39 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 -5 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,513,-11178] |
[a1,a2,a3,a4,a6] |
j |
2963088/12427 |
j-invariant |
L |
2.2392811984432 |
L(r)(E,1)/r! |
Ω |
0.55982029961097 |
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 |
105264w1 26316c1 |
Quadratic twists by: -4 -3 |