Atkin-Lehner |
3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
77319p |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
122045014538469 = 36 · 119 · 71 |
Discriminant |
Eigenvalues |
0 3- 1 -3 11- -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-879912,317692064] |
[a1,a2,a3,a4,a6] |
Generators |
[528:544:1] |
Generators of the group modulo torsion |
j |
58338840674304/94501 |
j-invariant |
L |
3.9792118895431 |
L(r)(E,1)/r! |
Ω |
0.50215780384626 |
Real period |
R |
0.99052824061815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8591b1 7029a1 |
Quadratic twists by: -3 -11 |