Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
39396q |
Isogeny class |
Conductor |
39396 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-3.4476580339503E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 0 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,39723,-893328633] |
[a1,a2,a3,a4,a6] |
Generators |
[5154:369117:1] |
Generators of the group modulo torsion |
j |
230149849088/11447113188483 |
j-invariant |
L |
8.161231942693 |
L(r)(E,1)/r! |
Ω |
0.078601462522821 |
Real period |
R |
2.5957633868214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118188bi1 5628c1 |
Quadratic twists by: -3 -7 |