Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760cp |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
44282880 = 210 · 32 · 5 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101,-261] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:12:1] [27:132:1] |
Generators of the group modulo torsion |
j |
112377856/43245 |
j-invariant |
L |
8.6500474337002 |
L(r)(E,1)/r! |
Ω |
1.5545564260299 |
Real period |
R |
2.7821593635532 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760c1 7440q1 89280fy1 |
Quadratic twists by: -4 8 -3 |