Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
39840n |
Isogeny class |
Conductor |
39840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
62001000000 = 26 · 32 · 56 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20750,-1157352] |
[a1,a2,a3,a4,a6] |
Generators |
[16482:395000:27] |
Generators of the group modulo torsion |
j |
15438993023952064/968765625 |
j-invariant |
L |
7.1348757418904 |
L(r)(E,1)/r! |
Ω |
0.3977818107667 |
Real period |
R |
5.9788855337061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39840i1 79680bf2 119520g1 |
Quadratic twists by: -4 8 -3 |