Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745s |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
6383537465067945 = 33 · 5 · 73 · 1310 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-172553,-27333889] |
[a1,a2,a3,a4,a6] |
Generators |
[-5418447:8050421:24389] |
Generators of the group modulo torsion |
j |
117713838907729/1322517105 |
j-invariant |
L |
7.8101913004599 |
L(r)(E,1)/r! |
Ω |
0.23440349918122 |
Real period |
R |
11.106477118503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53235i1 88725v1 124215g1 1365d1 |
Quadratic twists by: -3 5 -7 13 |