Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104bi |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-433713454654685184 = -1 · 224 · 32 · 7 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4528,-31686720] |
[a1,a2,a3,a4,a6] |
Generators |
[824:23040:1] [3674:222630:1] |
Generators of the group modulo torsion |
j |
103823/4386816 |
j-invariant |
L |
10.648424733351 |
L(r)(E,1)/r! |
Ω |
0.13716083068504 |
Real period |
R |
19.408647279174 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138ba1 5712bb1 |
Quadratic twists by: -4 17 |