Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
55272j |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-8.3960437195164E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-922784,-557770263] |
[a1,a2,a3,a4,a6] |
j |
-19227550789888/18576945567 |
j-invariant |
L |
2.9640931675342 |
L(r)(E,1)/r! |
Ω |
0.074102329232998 |
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 |
110544m1 55272a1 |
Quadratic twists by: -4 -7 |