Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
39200b |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
6 |
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 |
[49:98:1] |
Generators of the group modulo torsion |
j |
7560 |
j-invariant |
L |
4.4563488574935 |
L(r)(E,1)/r! |
Ω |
0.7483620093294 |
Real period |
R |
0.99246728230861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200a1 78400fx1 39200cj1 39200i1 |
Quadratic twists by: -4 8 5 -7 |