Atkin-Lehner |
3- 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
12243h |
Isogeny class |
Conductor |
12243 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-65502409826007 = -1 · 34 · 7 · 114 · 534 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4057,-402232] |
[a1,a2,a3,a4,a6] |
j |
-7384913720673553/65502409826007 |
j-invariant |
L |
2.0962916143613 |
L(r)(E,1)/r! |
Ω |
0.26203645179517 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36729x3 85701h3 |
Quadratic twists by: -3 -7 |