Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200db |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13003314429952000 = 223 · 53 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-373420,87658800] |
[a1,a2,a3,a4,a6] |
Generators |
[4964:347208:1] |
Generators of the group modulo torsion |
j |
175738332394197/396829664 |
j-invariant |
L |
6.2412238381728 |
L(r)(E,1)/r! |
Ω |
0.3996223380141 |
Real period |
R |
7.8089026920707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998973168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200hb2 3850ba2 123200cl2 |
Quadratic twists by: -4 8 5 |