Atkin-Lehner |
2- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17360bd |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
8956595950059520 = 233 · 5 · 7 · 313 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -3 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70680,5642992] |
[a1,a2,a3,a4,a6] |
Generators |
[82:626:1] |
Generators of the group modulo torsion |
j |
9533657181184921/2186668933120 |
j-invariant |
L |
3.6471737328656 |
L(r)(E,1)/r! |
Ω |
0.38734895988777 |
Real period |
R |
4.7078656593299 |
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 |
2170f2 69440cd2 86800bs2 121520bu2 |
Quadratic twists by: -4 8 5 -7 |