Atkin-Lehner |
2- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76096h |
Isogeny class |
Conductor |
76096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
46324809728 = 215 · 292 · 412 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60318764,-180312885872] |
[a1,a2,a3,a4,a6] |
Generators |
[960316304315319758893975254945441025800780:344969589989140801596864338779816866740611601:7414479951373838648363931314308152000] |
Generators of the group modulo torsion |
j |
740680785486733882256136/1413721 |
j-invariant |
L |
7.2101058784737 |
L(r)(E,1)/r! |
Ω |
0.054173444014365 |
Real period |
R |
66.546497167052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001679 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76096g4 38048b4 |
Quadratic twists by: -4 8 |