Atkin-Lehner |
3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
27825s |
Isogeny class |
Conductor |
27825 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-4225921875 = -1 · 36 · 56 · 7 · 53 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -3 -4 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,392,1069] |
[a1,a2,a3,a4,a6] |
j |
425259008/270459 |
j-invariant |
L |
5.1691579242428 |
L(r)(E,1)/r! |
Ω |
0.8615263207071 |
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 |
83475be1 1113c1 |
Quadratic twists by: -3 5 |