Atkin-Lehner |
5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
57575k |
Isogeny class |
Conductor |
57575 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-994878547578125 = -1 · 57 · 78 · 472 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 6 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,24270,424022] |
[a1,a2,a3,a4,a6] |
Generators |
[534:12595:1] |
Generators of the group modulo torsion |
j |
860085351/541205 |
j-invariant |
L |
3.6773183361879 |
L(r)(E,1)/r! |
Ω |
0.30660326786387 |
Real period |
R |
1.4992168714267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11515h2 8225c2 |
Quadratic twists by: 5 -7 |