Atkin-Lehner |
2+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
77248k |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
1.9751375945711E+19 |
Discriminant |
Eigenvalues |
2+ 1 -2 1 -6 5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1173409,439649215] |
[a1,a2,a3,a4,a6] |
Generators |
[57:19312:1] |
Generators of the group modulo torsion |
j |
1363208861955090386/150691039624871 |
j-invariant |
L |
6.1365297704882 |
L(r)(E,1)/r! |
Ω |
0.20976696077188 |
Real period |
R |
0.73135084650845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77248w1 9656a1 |
Quadratic twists by: -4 8 |