Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fm |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
2358125000000 = 26 · 510 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3333,-4213] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:1981:27] |
Generators of the group modulo torsion |
j |
6553600/3773 |
j-invariant |
L |
10.190058998994 |
L(r)(E,1)/r! |
Ω |
0.68385710113313 |
Real period |
R |
4.9669533667989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200ba1 30800bx1 123200gx1 |
Quadratic twists by: -4 8 5 |