Atkin-Lehner |
2+ 7+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
62216a |
Isogeny class |
Conductor |
62216 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
64960 |
Modular degree for the optimal curve |
Δ |
-233191540736 = -1 · 211 · 7 · 115 · 101 |
Discriminant |
Eigenvalues |
2+ 0 -3 7+ 11- 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1699,-35586] |
[a1,a2,a3,a4,a6] |
j |
-264834095346/113863057 |
j-invariant |
L |
1.820906209381 |
L(r)(E,1)/r! |
Ω |
0.36418124064997 |
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 |
124432b1 |
Quadratic twists by: -4 |