Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
48804t |
Isogeny class |
Conductor |
48804 |
Conductor |
∏ cp |
234 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-5.8859007047276E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1521662,1372246833] |
[a1,a2,a3,a4,a6] |
Generators |
[4132:256221:1] |
Generators of the group modulo torsion |
j |
-603498563233024/911613165201 |
j-invariant |
L |
8.8006799632288 |
L(r)(E,1)/r! |
Ω |
0.14663126925003 |
Real period |
R |
0.25649197217538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48804g1 |
Quadratic twists by: -7 |