Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bp |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-59007949615104 = -1 · 212 · 3 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 5 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4181,-382563] |
[a1,a2,a3,a4,a6] |
Generators |
[913484:23792881:1331] |
Generators of the group modulo torsion |
j |
-16777216/122451 |
j-invariant |
L |
4.9683616624098 |
L(r)(E,1)/r! |
Ω |
0.26283879018132 |
Real period |
R |
9.4513478375508 |
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 |
2499k1 119952gh1 5712r1 |
Quadratic twists by: -4 -3 -7 |