Atkin-Lehner |
3+ 11- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
22737c |
Isogeny class |
Conductor |
22737 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-91395441423 = -1 · 34 · 11 · 13 · 534 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,236,-14380] |
[a1,a2,a3,a4,a6] |
Generators |
[34:168:1] [5864:446163:1] |
Generators of the group modulo torsion |
j |
1453264622783/91395441423 |
j-invariant |
L |
4.0681749362619 |
L(r)(E,1)/r! |
Ω |
0.5115878857361 |
Real period |
R |
3.9760274331042 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68211b3 |
Quadratic twists by: -3 |