Atkin-Lehner |
2- 3+ 29- 71- |
Signs for the Atkin-Lehner involutions |
Class |
98832k |
Isogeny class |
Conductor |
98832 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-108773822398464 = -1 · 215 · 33 · 293 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -6 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10544,-648768] |
[a1,a2,a3,a4,a6] |
Generators |
[274:-4118:1] [984:30672:1] |
Generators of the group modulo torsion |
j |
-31653456713137/26556108984 |
j-invariant |
L |
11.329125615596 |
L(r)(E,1)/r! |
Ω |
0.22749661766045 |
Real period |
R |
2.074962280946 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12354h1 |
Quadratic twists by: -4 |