Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
73644b |
Isogeny class |
Conductor |
73644 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
243000 |
Modular degree for the optimal curve |
Δ |
-161422133831856 = -1 · 24 · 39 · 175 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 -1 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77545,-8308142] |
[a1,a2,a3,a4,a6] |
Generators |
[8521350:164848808:15625] |
Generators of the group modulo torsion |
j |
-8928192162021376/27947045331 |
j-invariant |
L |
5.5766189084522 |
L(r)(E,1)/r! |
Ω |
0.14302081139919 |
Real period |
R |
12.997220131495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73644g1 |
Quadratic twists by: -19 |