Atkin-Lehner |
2- 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650cp |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-2728499048903250 = -1 · 2 · 36 · 53 · 710 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44443,-4414069] |
[a1,a2,a3,a4,a6] |
Generators |
[2382:22619:8] |
Generators of the group modulo torsion |
j |
-77664832713147077/21827992391226 |
j-invariant |
L |
7.0098400628645 |
L(r)(E,1)/r! |
Ω |
0.16204359123564 |
Real period |
R |
4.3258977472772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55650bg2 |
Quadratic twists by: 5 |