Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ez |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
238080 |
Modular degree for the optimal curve |
Δ |
48125000000 = 26 · 510 · 7 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- 5 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27083,-1724537] |
[a1,a2,a3,a4,a6] |
Generators |
[-998146374:20286289:10503459] |
Generators of the group modulo torsion |
j |
3515200000/77 |
j-invariant |
L |
4.9896342334315 |
L(r)(E,1)/r! |
Ω |
0.37215563284846 |
Real period |
R |
13.407386162888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999020732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200fu1 61600e1 123200ht1 |
Quadratic twists by: -4 8 5 |