Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8024b |
Isogeny class |
Conductor |
8024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-421447361555456 = -1 · 210 · 178 · 59 |
Discriminant |
Eigenvalues |
2+ 3 1 -1 -6 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-116827,15401318] |
[a1,a2,a3,a4,a6] |
Generators |
[677985:668168:3375] |
Generators of the group modulo torsion |
j |
-172208042161338564/411569689019 |
j-invariant |
L |
6.9424976311764 |
L(r)(E,1)/r! |
Ω |
0.53199514201832 |
Real period |
R |
3.2624816858465 |
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 |
16048h1 64192q1 72216s1 |
Quadratic twists by: -4 8 -3 |