Atkin-Lehner |
2+ 3+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
84816a |
Isogeny class |
Conductor |
84816 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-100899413089238448 = -1 · 24 · 39 · 192 · 316 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264870,54648783] |
[a1,a2,a3,a4,a6] |
j |
-6525454286592000/320388828841 |
j-invariant |
L |
1.9952865209678 |
L(r)(E,1)/r! |
Ω |
0.3325477503048 |
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 |
42408a1 84816b1 |
Quadratic twists by: -4 -3 |