Atkin-Lehner |
3+ 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
53025k |
Isogeny class |
Conductor |
53025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
639360 |
Modular degree for the optimal curve |
Δ |
-201329296875 = -1 · 36 · 58 · 7 · 101 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7+ 6 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-488208,131460068] |
[a1,a2,a3,a4,a6] |
Generators |
[408:148:1] |
Generators of the group modulo torsion |
j |
-32944220954890240/515403 |
j-invariant |
L |
2.5631916701361 |
L(r)(E,1)/r! |
Ω |
0.7152111276001 |
Real period |
R |
1.7919126053697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53025s1 |
Quadratic twists by: 5 |