Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39396b |
Isogeny class |
Conductor |
39396 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-851468209934832 = -1 · 24 · 39 · 79 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -5 5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46762,-4122047] |
[a1,a2,a3,a4,a6] |
Generators |
[336:4241:1] |
Generators of the group modulo torsion |
j |
-17514989824/1318761 |
j-invariant |
L |
5.5023519540517 |
L(r)(E,1)/r! |
Ω |
0.16162959273665 |
Real period |
R |
5.6738289287329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118188w1 39396k1 |
Quadratic twists by: -3 -7 |