Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26010br |
Isogeny class |
Conductor |
26010 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-24573831840 = -1 · 25 · 312 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 1 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-437,-8211] |
[a1,a2,a3,a4,a6] |
j |
-43713001/116640 |
j-invariant |
L |
4.8509175393843 |
L(r)(E,1)/r! |
Ω |
0.48509175393844 |
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 |
8670a1 26010bo1 |
Quadratic twists by: -3 17 |