Atkin-Lehner |
3- 5+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
69165h |
Isogeny class |
Conductor |
69165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
99607702309065 = 312 · 5 · 294 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38745,-2886224] |
[a1,a2,a3,a4,a6] |
j |
8823674615832721/136636079985 |
j-invariant |
L |
0.68121250779135 |
L(r)(E,1)/r! |
Ω |
0.34060626726563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23055f1 |
Quadratic twists by: -3 |