Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800p |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-1247178944000000 = -1 · 212 · 56 · 117 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-137133,19665637] |
[a1,a2,a3,a4,a6] |
j |
-2515456/11 |
j-invariant |
L |
1.949000950502 |
L(r)(E,1)/r! |
Ω |
0.48725024350814 |
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 |
96800j1 3872i1 8800x1 |
Quadratic twists by: -4 5 -11 |