Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
77077n |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-3.1400746819728E+22 |
Discriminant |
Eigenvalues |
-1 0 0 7- 11- 13+ 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3722300,-8066056820] |
[a1,a2,a3,a4,a6] |
Generators |
[6286951836060832523244142149232:-196128169705740310365722172388085:3810432008146705380661421737] |
Generators of the group modulo torsion |
j |
11397810375/62748517 |
j-invariant |
L |
2.9650223277563 |
L(r)(E,1)/r! |
Ω |
0.058777506175251 |
Real period |
R |
50.44484736926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77077a2 637c2 |
Quadratic twists by: -7 -11 |