Atkin-Lehner |
3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27225bz |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1648135099501171875 = -1 · 39 · 58 · 118 |
Discriminant |
Eigenvalues |
0 3- 5- 1 11- 1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-635250,204433281] |
[a1,a2,a3,a4,a6] |
j |
-56197120/3267 |
j-invariant |
L |
1.0509039873921 |
L(r)(E,1)/r! |
Ω |
0.26272599684809 |
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 |
9075t1 27225bg1 2475k1 |
Quadratic twists by: -3 5 -11 |