Atkin-Lehner |
3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27225x |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
348480 |
Modular degree for the optimal curve |
Δ |
-2260816323046875 = -1 · 33 · 58 · 118 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11- 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2963555,1964407822] |
[a1,a2,a3,a4,a6] |
Generators |
[994:-535:1] |
Generators of the group modulo torsion |
j |
-1273201875 |
j-invariant |
L |
3.3464420961719 |
L(r)(E,1)/r! |
Ω |
0.38393453628526 |
Real period |
R |
1.4526964798697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27225u1 27225g1 27225v1 |
Quadratic twists by: -3 5 -11 |