Atkin-Lehner |
3- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
9345b |
Isogeny class |
Conductor |
9345 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
-49070473515 = -1 · 38 · 5 · 75 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 3 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,514,9711] |
[a1,a2,a3,a4,a6] |
Generators |
[73:625:1] |
Generators of the group modulo torsion |
j |
15016207463711/49070473515 |
j-invariant |
L |
3.4712825194396 |
L(r)(E,1)/r! |
Ω |
0.79848054402437 |
Real period |
R |
0.10868400443248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28035j1 46725a1 65415k1 |
Quadratic twists by: -3 5 -7 |