Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17052m |
Isogeny class |
Conductor |
17052 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
68040 |
Modular degree for the optimal curve |
Δ |
-783294435674352 = -1 · 24 · 315 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 3 -5 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4622,-1353507] |
[a1,a2,a3,a4,a6] |
j |
-5802287872/416118303 |
j-invariant |
L |
3.3318753447295 |
L(r)(E,1)/r! |
Ω |
0.22212502298197 |
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 |
68208bl1 51156bb1 348c1 |
Quadratic twists by: -4 -3 -7 |