Atkin-Lehner |
2- 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25740b |
Isogeny class |
Conductor |
25740 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
28146690000 = 24 · 39 · 54 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1512,21141] |
[a1,a2,a3,a4,a6] |
j |
1213857792/89375 |
j-invariant |
L |
2.315893251504 |
L(r)(E,1)/r! |
Ω |
1.157946625752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960cj1 25740a1 128700d1 |
Quadratic twists by: -4 -3 5 |