Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162l |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
60058343776425984 = 211 · 39 · 116 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35682378,82049514740] |
[a1,a2,a3,a4,a6] |
Generators |
[1687:162412:1] |
Generators of the group modulo torsion |
j |
144091275020705979/1722368 |
j-invariant |
L |
2.2333309053529 |
L(r)(E,1)/r! |
Ω |
0.2472546382292 |
Real period |
R |
4.5162568460485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162bn2 522g2 |
Quadratic twists by: -3 -11 |