Atkin-Lehner |
2- 3+ 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650cd |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-4026000 = -1 · 24 · 3 · 53 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11- 2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,27,-69] |
[a1,a2,a3,a4,a6] |
Generators |
[5:12:1] |
Generators of the group modulo torsion |
j |
17373979/32208 |
j-invariant |
L |
9.2201577650226 |
L(r)(E,1)/r! |
Ω |
1.2941695506045 |
Real period |
R |
0.89054770250733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650bh1 |
Quadratic twists by: 5 |