Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480cc |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-344088000000000000 = -1 · 215 · 36 · 512 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -3 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-274827,-62223046] |
[a1,a2,a3,a4,a6] |
Generators |
[853:18000:1] |
Generators of the group modulo torsion |
j |
-768801863379529/115234375000 |
j-invariant |
L |
4.2982042190912 |
L(r)(E,1)/r! |
Ω |
0.10340088215001 |
Real period |
R |
0.43300366190947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999798 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5310q2 4720b2 |
Quadratic twists by: -4 -3 |