Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488d |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1844278655281344 = -1 · 26 · 35 · 179 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 5 5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15991,2213269] |
[a1,a2,a3,a4,a6] |
Generators |
[98868:1591523:1331] |
Generators of the group modulo torsion |
j |
-292754944/1193859 |
j-invariant |
L |
5.9256982236086 |
L(r)(E,1)/r! |
Ω |
0.40921250248915 |
Real period |
R |
7.2403680088917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488bi1 27744w1 3264p1 |
Quadratic twists by: -4 8 17 |