Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730by |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17385984 |
Modular degree for the optimal curve |
Δ |
-1.9253556932051E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 -3 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-205900206,1137124467219] |
[a1,a2,a3,a4,a6] |
Generators |
[14071:1005935:1] |
Generators of the group modulo torsion |
j |
-3417540386314978832881/68160155625000 |
j-invariant |
L |
5.4869130918851 |
L(r)(E,1)/r! |
Ω |
0.11246621378693 |
Real period |
R |
4.0656010547978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005595 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730cl1 |
Quadratic twists by: -7 |