Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35700bb |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-7965562500000000 = -1 · 28 · 32 · 512 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,41092,-2842812] |
[a1,a2,a3,a4,a6] |
Generators |
[148:-2550:1] |
Generators of the group modulo torsion |
j |
1918337383856/1991390625 |
j-invariant |
L |
6.424604642581 |
L(r)(E,1)/r! |
Ω |
0.22531484563591 |
Real period |
R |
1.1880791048279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107100be2 7140d2 |
Quadratic twists by: -3 5 |