Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fc |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-16263797760000000 = -1 · 216 · 33 · 57 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28992,5824512] |
[a1,a2,a3,a4,a6] |
Generators |
[896:27392:1] |
Generators of the group modulo torsion |
j |
357911/2160 |
j-invariant |
L |
5.5043616819399 |
L(r)(E,1)/r! |
Ω |
0.28329133329278 |
Real period |
R |
4.8575097745471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7350cj1 11760cp1 1200p1 |
Quadratic twists by: -4 5 -7 |