Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488j |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
4634413248 = 26 · 3 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1252,17158] |
[a1,a2,a3,a4,a6] |
Generators |
[423:8660:1] |
Generators of the group modulo torsion |
j |
140608/3 |
j-invariant |
L |
4.1555176404847 |
L(r)(E,1)/r! |
Ω |
1.3734668349311 |
Real period |
R |
6.0511364886581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488bj1 27744bb3 192b1 |
Quadratic twists by: -4 8 17 |