Atkin-Lehner |
3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
43245b |
Isogeny class |
Conductor |
43245 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
32753878037105625 = 310 · 54 · 316 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-86670,-4520529] |
[a1,a2,a3,a4,a6] |
Generators |
[-24273756:-310783797:140608] |
Generators of the group modulo torsion |
j |
111284641/50625 |
j-invariant |
L |
5.7295588618729 |
L(r)(E,1)/r! |
Ω |
0.29047153967828 |
Real period |
R |
9.8625133261272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14415g4 45a4 |
Quadratic twists by: -3 -31 |