Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050bt |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
1176000 |
Modular degree for the optimal curve |
Δ |
-1.0507424792413E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1589963,787134417] |
[a1,a2,a3,a4,a6] |
Generators |
[796:4705:1] |
Generators of the group modulo torsion |
j |
-28448852731909216489/672475186714464 |
j-invariant |
L |
11.259164338672 |
L(r)(E,1)/r! |
Ω |
0.22799726650127 |
Real period |
R |
0.23515662754265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150w1 1722d1 |
Quadratic twists by: -3 5 |