Atkin-Lehner |
2+ 3+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
84816b |
Isogeny class |
Conductor |
84816 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-138407974059312 = -1 · 24 · 33 · 192 · 316 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29430,-2024029] |
[a1,a2,a3,a4,a6] |
j |
-6525454286592000/320388828841 |
j-invariant |
L |
1.0903899730195 |
L(r)(E,1)/r! |
Ω |
0.18173166585136 |
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 |
42408h1 84816a1 |
Quadratic twists by: -4 -3 |