Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728h |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
866896200963072 = 210 · 34 · 710 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 0 -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26405,-840219] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:864:1] |
Generators of the group modulo torsion |
j |
1988376942198784/846578321253 |
j-invariant |
L |
2.5885423189058 |
L(r)(E,1)/r! |
Ω |
0.38913581475594 |
Real period |
R |
3.3260139785886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728ev1 3108f1 |
Quadratic twists by: -4 8 |