Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84270bk |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1763840 |
Modular degree for the optimal curve |
Δ |
-989929077540639900 = -1 · 22 · 3 · 52 · 539 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,133369,-44034939] |
[a1,a2,a3,a4,a6] |
j |
79507/300 |
j-invariant |
L |
7.0584699047977 |
L(r)(E,1)/r! |
Ω |
0.14116939840112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84270d1 |
Quadratic twists by: 53 |