Atkin-Lehner |
2- 5+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
81700b |
Isogeny class |
Conductor |
81700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
85248 |
Modular degree for the optimal curve |
Δ |
-219568750000 = -1 · 24 · 58 · 19 · 432 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 0 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,-34512] |
[a1,a2,a3,a4,a6] |
Generators |
[53:175:1] |
Generators of the group modulo torsion |
j |
-1927561216/878275 |
j-invariant |
L |
5.0458089531541 |
L(r)(E,1)/r! |
Ω |
0.36741743002632 |
Real period |
R |
2.2888629927074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16340c1 |
Quadratic twists by: 5 |