Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77658bf |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-79768627642368 = -1 · 216 · 37 · 7 · 433 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,10045,186561] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-887:1] |
Generators of the group modulo torsion |
j |
1409825840597/1003290624 |
j-invariant |
L |
9.1095024517663 |
L(r)(E,1)/r! |
Ω |
0.38682308884557 |
Real period |
R |
0.42052734518446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77658i1 |
Quadratic twists by: -43 |