Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
55488de |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-9236754432 = -1 · 212 · 33 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 2 -5 2 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2697,55017] |
[a1,a2,a3,a4,a6] |
Generators |
[23:68:1] |
Generators of the group modulo torsion |
j |
-6344128/27 |
j-invariant |
L |
4.80133071347 |
L(r)(E,1)/r! |
Ω |
1.3039406087775 |
Real period |
R |
0.6136949644658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488eg1 27744bd1 55488dw1 |
Quadratic twists by: -4 8 17 |