Atkin-Lehner |
2- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25970s |
Isogeny class |
Conductor |
25970 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
9288 |
Modular degree for the optimal curve |
Δ |
-325767680 = -1 · 29 · 5 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-246,1700] |
[a1,a2,a3,a4,a6] |
j |
-685878529/135680 |
j-invariant |
L |
4.9316273289766 |
L(r)(E,1)/r! |
Ω |
1.6438757763255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
129850a1 25970v1 |
Quadratic twists by: 5 -7 |