Atkin-Lehner |
3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11025i |
Isogeny class |
Conductor |
11025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
1551328215978515625 = 39 · 59 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -2 -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-680105,-207225728] |
[a1,a2,a3,a4,a6] |
j |
2803221/125 |
j-invariant |
L |
0.66682491714478 |
L(r)(E,1)/r! |
Ω |
0.1667062292862 |
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 |
11025g1 2205c1 11025h1 |
Quadratic twists by: -3 5 -7 |