Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
69776u |
Isogeny class |
Conductor |
69776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-282980196352 = -1 · 213 · 72 · 893 |
Discriminant |
Eigenvalues |
2- -2 0 7- 3 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4328,-113996] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1016:1] |
Generators of the group modulo torsion |
j |
-44681709625/1409938 |
j-invariant |
L |
4.1050923922383 |
L(r)(E,1)/r! |
Ω |
0.29375351931112 |
Real period |
R |
3.4936537968772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8722f1 69776f1 |
Quadratic twists by: -4 -7 |