Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
93024i |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225280 |
Modular degree for the optimal curve |
Δ |
-170853468770304 = -1 · 212 · 317 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 0 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4884,615008] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:612:1] |
Generators of the group modulo torsion |
j |
4314825152/57218481 |
j-invariant |
L |
8.7380873455015 |
L(r)(E,1)/r! |
Ω |
0.42349665493868 |
Real period |
R |
2.5791488665555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93024y1 31008q1 |
Quadratic twists by: -4 -3 |