Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17160h |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1821511933956000000 = 28 · 32 · 56 · 116 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-675020,203122368] |
[a1,a2,a3,a4,a6] |
Generators |
[1756:66600:1] |
Generators of the group modulo torsion |
j |
132872256991684831696/7115280992015625 |
j-invariant |
L |
6.4270054965261 |
L(r)(E,1)/r! |
Ω |
0.26048290000417 |
Real period |
R |
4.1122376276415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34320g2 51480bn2 85800bs2 |
Quadratic twists by: -4 -3 5 |