Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550s |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
3949779456000 = 212 · 33 · 53 · 75 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-89607,10346301] |
[a1,a2,a3,a4,a6] |
Generators |
[189:-462:1] |
Generators of the group modulo torsion |
j |
23576453352214407/1170305024 |
j-invariant |
L |
3.6707870529351 |
L(r)(E,1)/r! |
Ω |
0.73862063254422 |
Real period |
R |
0.49697867771799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550de1 53550db1 |
Quadratic twists by: -3 5 |