Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488dt |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-3551232 = -1 · 212 · 3 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 -2 5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,-73] |
[a1,a2,a3,a4,a6] |
Generators |
[49:348:1] |
Generators of the group modulo torsion |
j |
1088/3 |
j-invariant |
L |
8.3745580294289 |
L(r)(E,1)/r! |
Ω |
1.2844428206225 |
Real period |
R |
3.2599964338419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488cn1 27744s1 55488dg1 |
Quadratic twists by: -4 8 17 |