Atkin-Lehner |
3- 5- 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
92655j |
Isogeny class |
Conductor |
92655 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
668032 |
Modular degree for the optimal curve |
Δ |
-68813485847701515 = -1 · 323 · 5 · 29 · 712 |
Discriminant |
Eigenvalues |
0 3- 5- -4 1 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,53178,-11705198] |
[a1,a2,a3,a4,a6] |
j |
22813513863888896/94394356444035 |
j-invariant |
L |
1.4058036761519 |
L(r)(E,1)/r! |
Ω |
0.17572546199162 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30885b1 |
Quadratic twists by: -3 |