Atkin-Lehner |
7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100079a |
Isogeny class |
Conductor |
100079 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-1709928488882243 = -1 · 73 · 172 · 297 |
Discriminant |
Eigenvalues |
0 1 -2 7+ -4 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-319019,69276526] |
[a1,a2,a3,a4,a6] |
Generators |
[338:420:1] |
Generators of the group modulo torsion |
j |
-6036521254912/2874683 |
j-invariant |
L |
2.2137594023879 |
L(r)(E,1)/r! |
Ω |
0.46542241403976 |
Real period |
R |
0.59455650162483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000109469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3451d1 |
Quadratic twists by: 29 |