Atkin-Lehner |
2+ 3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
85782g |
Isogeny class |
Conductor |
85782 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-8614450229704128 = -1 · 26 · 33 · 172 · 297 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24407,-4702534] |
[a1,a2,a3,a4,a6] |
j |
-2703045457/14482368 |
j-invariant |
L |
1.0309609981856 |
L(r)(E,1)/r! |
Ω |
0.17182683835784 |
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 |
2958a1 |
Quadratic twists by: 29 |