Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17160n |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
53825484810240 = 211 · 32 · 5 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23616,-1343700] |
[a1,a2,a3,a4,a6] |
Generators |
[181:528:1] |
Generators of the group modulo torsion |
j |
711264560340098/26281975005 |
j-invariant |
L |
3.3927758642581 |
L(r)(E,1)/r! |
Ω |
0.38599585694613 |
Real period |
R |
4.3948345600139 |
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 |
34320m2 51480o2 85800bh2 |
Quadratic twists by: -4 -3 5 |