Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400dy |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-1098842112000000 = -1 · 222 · 36 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56833,5434463] |
[a1,a2,a3,a4,a6] |
Generators |
[107:768:1] |
Generators of the group modulo torsion |
j |
-4956477625/268272 |
j-invariant |
L |
7.8429744118937 |
L(r)(E,1)/r! |
Ω |
0.48386064587539 |
Real period |
R |
1.350763293547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400fr1 3450r1 4416a1 |
Quadratic twists by: -4 8 5 |