Atkin-Lehner |
3- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
113775j |
Isogeny class |
Conductor |
113775 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
72814222265625 = 34 · 58 · 372 · 412 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14751,-555227] |
[a1,a2,a3,a4,a6] |
Generators |
[-362:1311:8] |
Generators of the group modulo torsion |
j |
22715680520161/4660110225 |
j-invariant |
L |
8.5404691651068 |
L(r)(E,1)/r! |
Ω |
0.43945612529431 |
Real period |
R |
4.8585448339726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018596 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22755f2 |
Quadratic twists by: 5 |