Atkin-Lehner |
2- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
96320bi |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-339292979200 = -1 · 220 · 52 · 7 · 432 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -4 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1601,36799] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:240:1] [-6:215:1] |
Generators of the group modulo torsion |
j |
-1732323601/1294300 |
j-invariant |
L |
6.2509132914356 |
L(r)(E,1)/r! |
Ω |
0.88358076492435 |
Real period |
R |
1.7686309899298 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96320l1 24080o1 |
Quadratic twists by: -4 8 |