Atkin-Lehner |
2+ 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
41616k |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
-3013527214512 = -1 · 24 · 33 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 2 5 -6 5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1857114,974105423] |
[a1,a2,a3,a4,a6] |
j |
-235052181504 |
j-invariant |
L |
3.2335674053519 |
L(r)(E,1)/r! |
Ω |
0.53892790087074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20808f1 41616l1 41616d1 |
Quadratic twists by: -4 -3 17 |