Atkin-Lehner |
2- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78292d |
Isogeny class |
Conductor |
78292 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1960704 |
Modular degree for the optimal curve |
Δ |
-3.7572452988217E+19 |
Discriminant |
Eigenvalues |
2- 2 -3 4 -2 5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-531292,330617496] |
[a1,a2,a3,a4,a6] |
Generators |
[-906:8214:1] |
Generators of the group modulo torsion |
j |
-827297488/1874161 |
j-invariant |
L |
8.9749156224622 |
L(r)(E,1)/r! |
Ω |
0.18208482922994 |
Real period |
R |
2.7383194164559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78292i1 |
Quadratic twists by: -23 |