Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360bf |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-2205808200000 = -1 · 26 · 38 · 55 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3060,-28350] |
[a1,a2,a3,a4,a6] |
Generators |
[45:450:1] |
Generators of the group modulo torsion |
j |
49495541909696/34465753125 |
j-invariant |
L |
7.8838953757965 |
L(r)(E,1)/r! |
Ω |
0.46445618528772 |
Real period |
R |
0.84872326233668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360j1 19680n2 118080bi1 |
Quadratic twists by: -4 8 -3 |