Atkin-Lehner |
3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573bg |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
151891800291 = 36 · 77 · 11 · 23 |
Discriminant |
Eigenvalues |
1 3- -1 7- 11- 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2655,-48546] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:62:1] [2606:45051:8] |
Generators of the group modulo torsion |
j |
24137569/1771 |
j-invariant |
L |
13.510445150331 |
L(r)(E,1)/r! |
Ω |
0.66816418892329 |
Real period |
R |
5.0550618295913 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12397g1 15939i1 |
Quadratic twists by: -3 -7 |