Atkin-Lehner |
2+ 3- 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74646g |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13418596877358816 = 25 · 320 · 11 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-207756,-35967888] |
[a1,a2,a3,a4,a6] |
Generators |
[-261:783:1] [3301:186072:1] |
Generators of the group modulo torsion |
j |
1360373254355871937/18406854427104 |
j-invariant |
L |
8.0041938485795 |
L(r)(E,1)/r! |
Ω |
0.2238034111972 |
Real period |
R |
17.882198054751 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24882bl2 |
Quadratic twists by: -3 |