Atkin-Lehner |
2- 3- 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56610t |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
180000 |
Modular degree for the optimal curve |
Δ |
-1696601700000 = -1 · 25 · 36 · 55 · 17 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10328,411387] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-103:1] |
Generators of the group modulo torsion |
j |
-167111158096441/2327300000 |
j-invariant |
L |
9.5332170461873 |
L(r)(E,1)/r! |
Ω |
0.84288041619046 |
Real period |
R |
1.1310284190975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6290e1 |
Quadratic twists by: -3 |