Atkin-Lehner |
2+ 5- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970k |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-231313051501199360 = -1 · 218 · 5 · 78 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1362618,-612772884] |
[a1,a2,a3,a4,a6] |
Generators |
[21903173721:2540840904109:1601613] |
Generators of the group modulo torsion |
j |
-48535700126008921/40125071360 |
j-invariant |
L |
6.6971844237694 |
L(r)(E,1)/r! |
Ω |
0.069864175137595 |
Real period |
R |
15.976677628602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123970d2 |
Quadratic twists by: -7 |