Atkin-Lehner |
2- 3- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
78864s |
Isogeny class |
Conductor |
78864 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
-1015689456 = -1 · 24 · 36 · 31 · 532 |
Discriminant |
Eigenvalues |
2- 3- -3 1 2 -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-242,2031] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-159:1] [7:27:1] |
Generators of the group modulo torsion |
j |
-98365589248/63480591 |
j-invariant |
L |
11.279863314974 |
L(r)(E,1)/r! |
Ω |
1.4410579826111 |
Real period |
R |
0.6522906232264 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19716a1 |
Quadratic twists by: -4 |