Atkin-Lehner |
2- 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
80100d |
Isogeny class |
Conductor |
80100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-7007148000000 = -1 · 28 · 39 · 56 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21600,1228500] |
[a1,a2,a3,a4,a6] |
Generators |
[690:675:8] |
Generators of the group modulo torsion |
j |
-14155776/89 |
j-invariant |
L |
6.2094639754346 |
L(r)(E,1)/r! |
Ω |
0.75068875989055 |
Real period |
R |
2.0679222566761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80100a1 3204b1 |
Quadratic twists by: -3 5 |