Atkin-Lehner |
2+ 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
48216b |
Isogeny class |
Conductor |
48216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82432 |
Modular degree for the optimal curve |
Δ |
-5082617508864 = -1 · 210 · 3 · 79 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 6 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1944,102684] |
[a1,a2,a3,a4,a6] |
j |
19652/123 |
j-invariant |
L |
2.2228298594175 |
L(r)(E,1)/r! |
Ω |
0.55570746479845 |
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 |
96432m1 48216i1 |
Quadratic twists by: -4 -7 |