Atkin-Lehner |
2- 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77376bk |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-10042785792 = -1 · 214 · 32 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 2 3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-757,9107] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1527:1] |
Generators of the group modulo torsion |
j |
-2932006912/612963 |
j-invariant |
L |
10.834138013152 |
L(r)(E,1)/r! |
Ω |
1.2334244185941 |
Real period |
R |
4.3918937597255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77376e1 19344o1 |
Quadratic twists by: -4 8 |