Atkin-Lehner |
2- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640br |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-5684338688000 = -1 · 216 · 53 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 2 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3120,94100] |
[a1,a2,a3,a4,a6] |
Generators |
[100:1190:1] |
Generators of the group modulo torsion |
j |
341425679/578000 |
j-invariant |
L |
9.0478322296468 |
L(r)(E,1)/r! |
Ω |
0.51989069658098 |
Real period |
R |
0.48342598688784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330t1 66640bo1 |
Quadratic twists by: -4 -7 |