Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
77658bo |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-414253865088 = -1 · 27 · 36 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -1 2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5779,171425] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-103:1] |
Generators of the group modulo torsion |
j |
-11543820929593/224042112 |
j-invariant |
L |
12.16080466282 |
L(r)(E,1)/r! |
Ω |
0.94569239721046 |
Real period |
R |
0.076542586435392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980413 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77658b1 |
Quadratic twists by: -43 |