Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4896a |
Isogeny class |
Conductor |
4896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-3564843872256 = -1 · 212 · 311 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 -5 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1992,-97072] |
[a1,a2,a3,a4,a6] |
j |
-292754944/1193859 |
j-invariant |
L |
1.303029033813 |
L(r)(E,1)/r! |
Ω |
0.32575725845325 |
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 |
4896l1 9792i1 1632g1 122400dq1 |
Quadratic twists by: -4 8 -3 5 |