Atkin-Lehner |
3- 5+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123165d |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
119248737890625 = 38 · 58 · 7 · 172 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20100645,34691735200] |
[a1,a2,a3,a4,a6] |
Generators |
[209540310:1483033595:74088] |
Generators of the group modulo torsion |
j |
1232043882072259432695121/163578515625 |
j-invariant |
L |
7.091699290396 |
L(r)(E,1)/r! |
Ω |
0.3364683324323 |
Real period |
R |
10.538434949526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031825 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41055f6 |
Quadratic twists by: -3 |