Atkin-Lehner |
2+ 3- 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822b |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-26840853785088 = -1 · 29 · 37 · 7 · 174 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 1 0 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3528,-236736] |
[a1,a2,a3,a4,a6] |
j |
6660589493375/36818729472 |
j-invariant |
L |
1.3393545462494 |
L(r)(E,1)/r! |
Ω |
0.33483862545211 |
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 |
29274bi1 |
Quadratic twists by: -3 |