Atkin-Lehner |
3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27225bb |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-93983255913954825 = -1 · 313 · 52 · 119 |
Discriminant |
Eigenvalues |
1 3- 5+ 1 11+ -2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-158472,28450021] |
[a1,a2,a3,a4,a6] |
j |
-10241915/2187 |
j-invariant |
L |
1.2941284484926 |
L(r)(E,1)/r! |
Ω |
0.3235321121231 |
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 |
9075c1 27225bw1 27225bd1 |
Quadratic twists by: -3 5 -11 |