Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
55470bb |
Isogeny class |
Conductor |
55470 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-269584200 = -1 · 23 · 36 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -3 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,155,-205] |
[a1,a2,a3,a4,a6] |
Generators |
[14:59:8] [5:24:1] |
Generators of the group modulo torsion |
j |
222641831/145800 |
j-invariant |
L |
12.239449701065 |
L(r)(E,1)/r! |
Ω |
0.99385138914274 |
Real period |
R |
1.0262642412107 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55470g1 |
Quadratic twists by: -43 |