Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984de |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
12375807696 = 24 · 33 · 73 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-737,-5790] |
[a1,a2,a3,a4,a6] |
j |
8077950976/2255067 |
j-invariant |
L |
2.8065542052779 |
L(r)(E,1)/r! |
Ω |
0.93551806841495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9996d1 119952gr1 39984ck1 |
Quadratic twists by: -4 -3 -7 |