Atkin-Lehner |
2- 3- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81252b |
Isogeny class |
Conductor |
81252 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-31837047929489664 = -1 · 28 · 38 · 372 · 614 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-412599,102370030] |
[a1,a2,a3,a4,a6] |
Generators |
[347:990:1] |
Generators of the group modulo torsion |
j |
-41623704687974992/170594606961 |
j-invariant |
L |
7.5091780519637 |
L(r)(E,1)/r! |
Ω |
0.37190371553508 |
Real period |
R |
3.3651980946562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27084e2 |
Quadratic twists by: -3 |