Atkin-Lehner |
3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42483a |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
7096562377347219 = 3 · 78 · 177 |
Discriminant |
Eigenvalues |
1 3+ -3 7+ -6 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-64019,-4764234] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:960:1] |
Generators of the group modulo torsion |
j |
208537/51 |
j-invariant |
L |
2.3467542693164 |
L(r)(E,1)/r! |
Ω |
0.30549369428669 |
Real period |
R |
1.920460481841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127449u1 42483s1 2499h1 |
Quadratic twists by: -3 -7 17 |