Atkin-Lehner |
2+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
53792c |
Isogeny class |
Conductor |
53792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4088281717309952 = 29 · 418 |
Discriminant |
Eigenvalues |
2+ 2 -2 0 -6 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40904,-808312] |
[a1,a2,a3,a4,a6] |
Generators |
[-39914933487:610398750502:406869021] |
Generators of the group modulo torsion |
j |
3112136/1681 |
j-invariant |
L |
6.6703571682316 |
L(r)(E,1)/r! |
Ω |
0.35764859856126 |
Real period |
R |
18.650589419513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53792d2 107584m2 1312b2 |
Quadratic twists by: -4 8 41 |