Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
80100l |
Isogeny class |
Conductor |
80100 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-259524000000 = -1 · 28 · 36 · 56 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 4 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,825,22750] |
[a1,a2,a3,a4,a6] |
Generators |
[39:338:1] |
Generators of the group modulo torsion |
j |
21296/89 |
j-invariant |
L |
6.9060022295056 |
L(r)(E,1)/r! |
Ω |
0.701952382966 |
Real period |
R |
3.2794257822585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8900b1 3204c1 |
Quadratic twists by: -3 5 |