Atkin-Lehner |
3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
114975u |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
74358284765625 = 36 · 58 · 72 · 732 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27605,1722772] |
[a1,a2,a3,a4,a6] |
Generators |
[28:971:1] |
Generators of the group modulo torsion |
j |
204232410369/6528025 |
j-invariant |
L |
4.0804132381948 |
L(r)(E,1)/r! |
Ω |
0.6099340023798 |
Real period |
R |
1.6724814790764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998736356 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12775a2 22995h2 |
Quadratic twists by: -3 5 |