Atkin-Lehner |
2+ 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162g |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-578174837617225728 = -1 · 212 · 33 · 118 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,99258,34522164] |
[a1,a2,a3,a4,a6] |
j |
2260986328125/12087578624 |
j-invariant |
L |
0.83806313315093 |
L(r)(E,1)/r! |
Ω |
0.20951578467228 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162bp3 5742q1 |
Quadratic twists by: -3 -11 |