Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200m |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
10067200 = 28 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 11- 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-473,-3803] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:1:1] |
Generators of the group modulo torsion |
j |
1832504320/1573 |
j-invariant |
L |
3.1127661456235 |
L(r)(E,1)/r! |
Ω |
1.0235997284942 |
Real period |
R |
1.5204996929716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28600o1 57200t1 |
Quadratic twists by: -4 5 |