Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39396c |
Isogeny class |
Conductor |
39396 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-9927792 = -1 · 24 · 33 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 5 -1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,54,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[26:105:8] |
Generators of the group modulo torsion |
j |
3114752/1809 |
j-invariant |
L |
7.0674790892953 |
L(r)(E,1)/r! |
Ω |
1.358868637753 |
Real period |
R |
2.6005012158444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118188ba1 39396n1 |
Quadratic twists by: -3 -7 |