Atkin-Lehner |
2- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
65296z |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-2815846461655220224 = -1 · 224 · 7 · 115 · 533 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 11- -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,338797,-27512494] |
[a1,a2,a3,a4,a6] |
j |
1049983398329064471/687462515052544 |
j-invariant |
L |
1.4535403707134 |
L(r)(E,1)/r! |
Ω |
0.14535403652981 |
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 |
8162a1 |
Quadratic twists by: -4 |