Atkin-Lehner |
2+ 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
72080c |
Isogeny class |
Conductor |
72080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-20782105600 = -1 · 210 · 52 · 172 · 532 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -6 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1480,22500] |
[a1,a2,a3,a4,a6] |
Generators |
[0:150:1] [8:106:1] |
Generators of the group modulo torsion |
j |
-350350152484/20295025 |
j-invariant |
L |
6.4193103443283 |
L(r)(E,1)/r! |
Ω |
1.1962060769211 |
Real period |
R |
1.3415979211566 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36040a2 |
Quadratic twists by: -4 |