Atkin-Lehner |
2- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
80600bh |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
821760 |
Modular degree for the optimal curve |
Δ |
-2517339500000000 = -1 · 28 · 59 · 132 · 313 |
Discriminant |
Eigenvalues |
2- 3 5- -2 4 13- -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9500,-2387500] |
[a1,a2,a3,a4,a6] |
Generators |
[23700:705250:27] |
Generators of the group modulo torsion |
j |
189637632/5034679 |
j-invariant |
L |
12.668516963615 |
L(r)(E,1)/r! |
Ω |
0.22111720774112 |
Real period |
R |
2.3872175256605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80600o1 |
Quadratic twists by: 5 |