Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162bl |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-130992736647652704 = -1 · 25 · 33 · 118 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8009,17417513] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:4234:1] |
Generators of the group modulo torsion |
j |
-1187648379/2738592032 |
j-invariant |
L |
11.157423429096 |
L(r)(E,1)/r! |
Ω |
0.26447544380797 |
Real period |
R |
2.1093495994509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162j2 5742b2 |
Quadratic twists by: -3 -11 |