Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800kc |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-112870195200000000 = -1 · 221 · 39 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-823500,288090000] |
[a1,a2,a3,a4,a6] |
Generators |
[525:675:1] |
Generators of the group modulo torsion |
j |
-30642435/56 |
j-invariant |
L |
6.5972832269005 |
L(r)(E,1)/r! |
Ω |
0.33326317427184 |
Real period |
R |
1.649668023655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800cf2 25200db2 100800kb1 100800jl2 |
Quadratic twists by: -4 8 -3 5 |