Atkin-Lehner |
3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
27825i |
Isogeny class |
Conductor |
27825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
411840 |
Modular degree for the optimal curve |
Δ |
-384695841796875 = -1 · 33 · 59 · 72 · 533 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 0 2 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-777208,-263469432] |
[a1,a2,a3,a4,a6] |
j |
-26583124095291392/196964271 |
j-invariant |
L |
0.96475324909528 |
L(r)(E,1)/r! |
Ω |
0.080396104091265 |
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 |
83475bp1 27825v1 |
Quadratic twists by: -3 5 |