Atkin-Lehner |
2- 3+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
41808i |
Isogeny class |
Conductor |
41808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-221934256128 = -1 · 220 · 35 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 3 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,896,-20480] |
[a1,a2,a3,a4,a6] |
Generators |
[18:34:1] |
Generators of the group modulo torsion |
j |
19400056703/54183168 |
j-invariant |
L |
3.1272389721101 |
L(r)(E,1)/r! |
Ω |
0.51148558649935 |
Real period |
R |
3.0570157348104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5226e1 125424t1 |
Quadratic twists by: -4 -3 |