Atkin-Lehner |
2+ 3- 5+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
100890d |
Isogeny class |
Conductor |
100890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
-11179419120 = -1 · 24 · 38 · 5 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,270,-4860] |
[a1,a2,a3,a4,a6] |
Generators |
[16:50:1] [31:165:1] |
Generators of the group modulo torsion |
j |
2979767519/15335280 |
j-invariant |
L |
7.2647916376413 |
L(r)(E,1)/r! |
Ω |
0.64194153917336 |
Real period |
R |
5.6584526739518 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33630n1 |
Quadratic twists by: -3 |