Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344bi |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
6912000 |
Modular degree for the optimal curve |
Δ |
3.8649805633021E+22 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 11+ 1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16555841,24135992351] |
[a1,a2,a3,a4,a6] |
Generators |
[845:103684:1] |
Generators of the group modulo torsion |
j |
1914421473306136725841/147437307865222144 |
j-invariant |
L |
7.5600997637152 |
L(r)(E,1)/r! |
Ω |
0.11265198920168 |
Real period |
R |
1.3422044032831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999955636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344dc1 3542r1 |
Quadratic twists by: -4 8 |