Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200eq |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-38912406750000 = -1 · 24 · 33 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7350,-385875] |
[a1,a2,a3,a4,a6] |
Generators |
[130:925:1] |
Generators of the group modulo torsion |
j |
-55296/49 |
j-invariant |
L |
6.4948497141744 |
L(r)(E,1)/r! |
Ω |
0.24862404345174 |
Real period |
R |
3.2653970327704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200e1 3528d1 12600bl1 |
Quadratic twists by: -3 5 -7 |