Atkin-Lehner |
3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
25857o |
Isogeny class |
Conductor |
25857 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
94848 |
Modular degree for the optimal curve |
Δ |
-30328052476059 = -1 · 37 · 138 · 17 |
Discriminant |
Eigenvalues |
-2 3- 3 -2 -4 13+ 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6591,-335592] |
[a1,a2,a3,a4,a6] |
j |
-53248/51 |
j-invariant |
L |
1.019841512365 |
L(r)(E,1)/r! |
Ω |
0.25496037809124 |
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 |
8619k1 25857l1 |
Quadratic twists by: -3 13 |