Atkin-Lehner |
3+ 5- 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
69165c |
Isogeny class |
Conductor |
69165 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-872516475 = -1 · 33 · 52 · 293 · 53 |
Discriminant |
Eigenvalues |
0 3+ 5- 1 4 3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-162,-1628] |
[a1,a2,a3,a4,a6] |
j |
-17414258688/32315425 |
j-invariant |
L |
2.5218046654235 |
L(r)(E,1)/r! |
Ω |
0.6304511643921 |
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 |
69165b1 |
Quadratic twists by: -3 |