Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616cf |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-27961510563900144 = -1 · 24 · 313 · 77 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19257,7979209] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:49:1] [-40:2673:1] |
Generators of the group modulo torsion |
j |
575511296/20376279 |
j-invariant |
L |
10.159189748229 |
L(r)(E,1)/r! |
Ω |
0.28257840974858 |
Real period |
R |
0.74899489529873 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808cc1 25872n1 11088x1 |
Quadratic twists by: -4 -3 -7 |