Atkin-Lehner |
3- 5+ 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36465o |
Isogeny class |
Conductor |
36465 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-21309234375 = -1 · 3 · 56 · 112 · 13 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11+ 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-224,-7159] |
[a1,a2,a3,a4,a6] |
j |
-1235030650489/21309234375 |
j-invariant |
L |
1.0405260826103 |
L(r)(E,1)/r! |
Ω |
0.52026304131415 |
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 |
109395bd1 |
Quadratic twists by: -3 |