Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360cd |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
23616000000 = 212 · 32 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-825,5625] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:100:1] [-24:105:1] |
Generators of the group modulo torsion |
j |
15179306176/5765625 |
j-invariant |
L |
7.5787707865993 |
L(r)(E,1)/r! |
Ω |
1.0946495780306 |
Real period |
R |
0.57695562570161 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360dc1 19680ba1 118080ee1 |
Quadratic twists by: -4 8 -3 |