Atkin-Lehner |
2- 5+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53650i |
Isogeny class |
Conductor |
53650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-44973789062500 = -1 · 22 · 510 · 292 · 372 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -2 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13438,-682008] |
[a1,a2,a3,a4,a6] |
Generators |
[172:1364:1] |
Generators of the group modulo torsion |
j |
-17175508997401/2878322500 |
j-invariant |
L |
3.2422486181452 |
L(r)(E,1)/r! |
Ω |
0.21969484432106 |
Real period |
R |
1.8447455082542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10730b2 |
Quadratic twists by: 5 |