Atkin-Lehner |
3- 5+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
10605f |
Isogeny class |
Conductor |
10605 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-56372203125 = -1 · 36 · 56 · 72 · 101 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,46,-11419] |
[a1,a2,a3,a4,a6] |
Generators |
[53:348:1] |
Generators of the group modulo torsion |
j |
11104492391/56372203125 |
j-invariant |
L |
5.6121833877585 |
L(r)(E,1)/r! |
Ω |
0.51656794328282 |
Real period |
R |
1.8107277273449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31815l2 53025g2 74235g2 |
Quadratic twists by: -3 5 -7 |