Atkin-Lehner |
2- 3+ 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182m |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-272994589248871644 = -1 · 22 · 310 · 76 · 115 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,149103,11930091] |
[a1,a2,a3,a4,a6] |
Generators |
[11534:448639:8] |
Generators of the group modulo torsion |
j |
366591739889780093807/272994589248871644 |
j-invariant |
L |
8.1747966733061 |
L(r)(E,1)/r! |
Ω |
0.19757656001488 |
Real period |
R |
4.1375336592004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84546f1 |
Quadratic twists by: -3 |