Atkin-Lehner |
3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
27825f |
Isogeny class |
Conductor |
27825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-139125 = -1 · 3 · 53 · 7 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 1 -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-185,-1050] |
[a1,a2,a3,a4,a6] |
j |
-5649262541/1113 |
j-invariant |
L |
1.293588809398 |
L(r)(E,1)/r! |
Ω |
0.64679440469943 |
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 |
83475bn1 27825t1 |
Quadratic twists by: -3 5 |