Atkin-Lehner |
2- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17360bd |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
696844288000 = 219 · 53 · 73 · 31 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -3 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23080,-1341328] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:10:1] |
Generators of the group modulo torsion |
j |
331963239764521/170128000 |
j-invariant |
L |
3.6471737328656 |
L(r)(E,1)/r! |
Ω |
0.38734895988777 |
Real period |
R |
1.56928855311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2170f1 69440cd1 86800bs1 121520bu1 |
Quadratic twists by: -4 8 5 -7 |