Atkin-Lehner |
2+ 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162p |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-112554684 = -1 · 22 · 36 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6,512] |
[a1,a2,a3,a4,a6] |
Generators |
[1:22:1] |
Generators of the group modulo torsion |
j |
-27/116 |
j-invariant |
L |
4.3333652823224 |
L(r)(E,1)/r! |
Ω |
1.5027718635445 |
Real period |
R |
1.4417907959099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7018c1 63162bs1 |
Quadratic twists by: -3 -11 |