Atkin-Lehner |
2+ 3+ 5- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010f |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6580224 |
Modular degree for the optimal curve |
Δ |
-2.4682343109607E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7177746,1531243988] |
[a1,a2,a3,a4,a6] |
Generators |
[-376763153:29500945603:2048383] |
Generators of the group modulo torsion |
j |
2077766037183976773453/1253992943636971520 |
j-invariant |
L |
5.7715092285266 |
L(r)(E,1)/r! |
Ω |
0.073360017300743 |
Real period |
R |
9.834221415489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89010ba1 |
Quadratic twists by: -3 |