Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
39200a |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
73789452800 = 29 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 6 -4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1715,24010] |
[a1,a2,a3,a4,a6] |
Generators |
[-222:1793:8] |
Generators of the group modulo torsion |
j |
7560 |
j-invariant |
L |
5.7496126502045 |
L(r)(E,1)/r! |
Ω |
1.0508314351556 |
Real period |
R |
5.4714890113197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200b1 78400fy1 39200ci1 39200h1 |
Quadratic twists by: -4 8 5 -7 |