Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
8024l |
Isogeny class |
Conductor |
8024 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-15194759936 = -1 · 28 · 172 · 593 |
Discriminant |
Eigenvalues |
2- -1 -3 -3 -4 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-252,-6044] |
[a1,a2,a3,a4,a6] |
Generators |
[160:2006:1] |
Generators of the group modulo torsion |
j |
-6940769488/59354531 |
j-invariant |
L |
1.8624691940844 |
L(r)(E,1)/r! |
Ω |
0.52576922087734 |
Real period |
R |
0.14759875627059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16048b1 64192c1 72216e1 |
Quadratic twists by: -4 8 -3 |