Atkin-Lehner |
3+ 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
53025b |
Isogeny class |
Conductor |
53025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
2174853515625 = 32 · 511 · 72 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -6 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-164563,-25763344] |
[a1,a2,a3,a4,a6] |
Generators |
[1445:51777:1] |
Generators of the group modulo torsion |
j |
31542814289848681/139190625 |
j-invariant |
L |
2.1644632278077 |
L(r)(E,1)/r! |
Ω |
0.23703725377173 |
Real period |
R |
2.2828302232419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605i1 |
Quadratic twists by: 5 |