Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bs |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
8558772746832 = 24 · 310 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-916986,-337980881] |
[a1,a2,a3,a4,a6] |
Generators |
[-3791807958100:-34960927401:6859000000] |
Generators of the group modulo torsion |
j |
62140690757632/6237 |
j-invariant |
L |
5.2594192403381 |
L(r)(E,1)/r! |
Ω |
0.15427973385488 |
Real period |
R |
17.045074902511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000256 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808bg1 25872w1 11088v1 |
Quadratic twists by: -4 -3 -7 |