Atkin-Lehner |
3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
46893i |
Isogeny class |
Conductor |
46893 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
9441017068329 = 33 · 77 · 114 · 29 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7572,205405] |
[a1,a2,a3,a4,a6] |
Generators |
[95:540:1] |
Generators of the group modulo torsion |
j |
408023180713/80247321 |
j-invariant |
L |
6.2885375747701 |
L(r)(E,1)/r! |
Ω |
0.69071749573248 |
Real period |
R |
1.5173925697114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6699a1 |
Quadratic twists by: -7 |