Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400bl |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
41252692320000000 = 211 · 32 · 57 · 73 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16466408,25713056688] |
[a1,a2,a3,a4,a6] |
Generators |
[3119633:138150:1331] |
Generators of the group modulo torsion |
j |
15430158112257556418/1289146635 |
j-invariant |
L |
7.9627392578332 |
L(r)(E,1)/r! |
Ω |
0.27679799670441 |
Real period |
R |
7.1918324486825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bf4 |
Quadratic twists by: 5 |