Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200hu |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-8641624320000 = -1 · 211 · 39 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 1 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28875,-1893850] |
[a1,a2,a3,a4,a6] |
Generators |
[490:10080:1] |
Generators of the group modulo torsion |
j |
-8318750/27 |
j-invariant |
L |
7.1018407494616 |
L(r)(E,1)/r! |
Ω |
0.18308579878348 |
Real period |
R |
3.2324738764143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400z1 88200br1 88200hv1 |
Quadratic twists by: -3 5 -7 |