Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200a |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-622598508000000 = -1 · 28 · 33 · 56 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 3 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-308700,-66027500] |
[a1,a2,a3,a4,a6] |
Generators |
[750:11150:1] |
Generators of the group modulo torsion |
j |
-5225472 |
j-invariant |
L |
7.2918899066101 |
L(r)(E,1)/r! |
Ω |
0.10126990803393 |
Real period |
R |
4.5002817520551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88200ei1 3528n1 88200d1 |
Quadratic twists by: -3 5 -7 |