Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400jp |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-5652480000 = -1 · 217 · 3 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 0 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,9663] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:48:1] |
Generators of the group modulo torsion |
j |
-781250/69 |
j-invariant |
L |
10.609158734978 |
L(r)(E,1)/r! |
Ω |
1.322252384777 |
Real period |
R |
2.0058876090022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400bz1 27600p1 110400fw1 |
Quadratic twists by: -4 8 5 |