Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
8024i |
Isogeny class |
Conductor |
8024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-1261501184 = -1 · 28 · 174 · 59 |
Discriminant |
Eigenvalues |
2+ -1 3 1 -4 6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-324,2932] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:68:1] |
Generators of the group modulo torsion |
j |
-14738677072/4927739 |
j-invariant |
L |
4.3270819100147 |
L(r)(E,1)/r! |
Ω |
1.445762219998 |
Real period |
R |
0.37411770156269 |
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 |
16048i1 64192t1 72216l1 |
Quadratic twists by: -4 8 -3 |