Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bt |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
64334459160125000 = 23 · 56 · 74 · 118 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15620155,23765525347] |
[a1,a2,a3,a4,a6] |
Generators |
[4733:233946:1] |
Generators of the group modulo torsion |
j |
15226621995131793/2324168 |
j-invariant |
L |
8.5840867767034 |
L(r)(E,1)/r! |
Ω |
0.27318915930387 |
Real period |
R |
5.2369615730534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1694d4 3850f3 |
Quadratic twists by: 5 -11 |