Atkin-Lehner |
3- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
8901d |
Isogeny class |
Conductor |
8901 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8320 |
Modular degree for the optimal curve |
Δ |
-4029562809 = -1 · 311 · 232 · 43 |
Discriminant |
Eigenvalues |
-1 3- -1 1 3 3 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23918,1429710] |
[a1,a2,a3,a4,a6] |
Generators |
[92:-6:1] |
Generators of the group modulo torsion |
j |
-2075648192259481/5527521 |
j-invariant |
L |
2.9110619918903 |
L(r)(E,1)/r! |
Ω |
1.2063424330092 |
Real period |
R |
0.30164134082442 |
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 |
2967a1 |
Quadratic twists by: -3 |