Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200da |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3144960 |
Modular degree for the optimal curve |
Δ |
-4.689262665675E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 -3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2572500,1899362500] |
[a1,a2,a3,a4,a6] |
Generators |
[1754:52758:1] |
Generators of the group modulo torsion |
j |
-8780800/2187 |
j-invariant |
L |
7.159553137148 |
L(r)(E,1)/r! |
Ω |
0.15841723968068 |
Real period |
R |
5.649285034912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400eg1 88200ip1 1800i1 |
Quadratic twists by: -3 5 -7 |