Atkin-Lehner |
2- 3- 5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56610z |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-598671129600 = -1 · 210 · 37 · 52 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1112,-39589] |
[a1,a2,a3,a4,a6] |
Generators |
[81:589:1] |
Generators of the group modulo torsion |
j |
-208422380089/821222400 |
j-invariant |
L |
12.428811066579 |
L(r)(E,1)/r! |
Ω |
0.37750073295072 |
Real period |
R |
1.6461969450256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870k1 |
Quadratic twists by: -3 |