Atkin-Lehner |
3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
65067p |
Isogeny class |
Conductor |
65067 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
463680 |
Modular degree for the optimal curve |
Δ |
-394922298772083 = -1 · 3 · 238 · 412 |
Discriminant |
Eigenvalues |
2 3+ -2 -1 -6 -5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,4056,949589] |
[a1,a2,a3,a4,a6] |
Generators |
[-502:5327:8] |
Generators of the group modulo torsion |
j |
94208/5043 |
j-invariant |
L |
5.2287983239222 |
L(r)(E,1)/r! |
Ω |
0.40568067306587 |
Real period |
R |
6.444475509064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65067o1 |
Quadratic twists by: -23 |