Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bd |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
43352779309056 = 214 · 33 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 0 -5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66656,-6594048] |
[a1,a2,a3,a4,a6] |
j |
1387087009/1836 |
j-invariant |
L |
0.59429724240661 |
L(r)(E,1)/r! |
Ω |
0.29714862124464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998bh1 119952dw1 39984dm1 |
Quadratic twists by: -4 -3 -7 |