Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200cf |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-1.3899900815167E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-878045700,10014375318500] |
[a1,a2,a3,a4,a6] |
Generators |
[17110:1350:1] |
Generators of the group modulo torsion |
j |
-90888126966784/16875 |
j-invariant |
L |
7.082544186173 |
L(r)(E,1)/r! |
Ω |
0.09890661060797 |
Real period |
R |
2.2377625164559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cs1 17640cc1 88200bg1 |
Quadratic twists by: -3 5 -7 |