Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200cv |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-99349286400000000 = -1 · 215 · 38 · 58 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,75592,-12908688] |
[a1,a2,a3,a4,a6] |
Generators |
[202:3250:1] [218:3726:1] |
Generators of the group modulo torsion |
j |
746389464911/1552332600 |
j-invariant |
L |
10.117248427759 |
L(r)(E,1)/r! |
Ω |
0.17519955167168 |
Real period |
R |
7.2183749423664 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650bc2 21840bz2 |
Quadratic twists by: -4 5 |