Atkin-Lehner |
2+ 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
62050l |
Isogeny class |
Conductor |
62050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
329640625000 = 23 · 59 · 172 · 73 |
Discriminant |
Eigenvalues |
2+ -3 5- 1 -3 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46867,-3893459] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:71:1] |
Generators of the group modulo torsion |
j |
5829084485973/168776 |
j-invariant |
L |
2.0214772614268 |
L(r)(E,1)/r! |
Ω |
0.32447637845406 |
Real period |
R |
1.5574918512481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62050bk1 |
Quadratic twists by: 5 |