Atkin-Lehner |
2- 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89304k |
Isogeny class |
Conductor |
89304 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4304160 |
Modular degree for the optimal curve |
Δ |
-1.0733155674241E+20 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 6 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-302641,-502451867] |
[a1,a2,a3,a4,a6] |
j |
-62464/2187 |
j-invariant |
L |
4.427388525838 |
L(r)(E,1)/r! |
Ω |
0.081988677155459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89304g1 |
Quadratic twists by: 61 |