Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63648m |
Isogeny class |
Conductor |
63648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-936967132827648 = -1 · 212 · 36 · 13 · 176 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58332,-5619040] |
[a1,a2,a3,a4,a6] |
Generators |
[4519112:-203473496:2197] |
Generators of the group modulo torsion |
j |
-7351176280384/313788397 |
j-invariant |
L |
3.7175947569032 |
L(r)(E,1)/r! |
Ω |
0.15321787947216 |
Real period |
R |
12.131726302532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000221 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63648w2 127296k1 7072h2 |
Quadratic twists by: -4 8 -3 |