Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925ci |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
397478984765625 = 32 · 58 · 76 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18401,-55177] |
[a1,a2,a3,a4,a6] |
j |
374805361/216225 |
j-invariant |
L |
1.7881557551802 |
L(r)(E,1)/r! |
Ω |
0.4470389537934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22785e2 2325b2 |
Quadratic twists by: 5 -7 |