Atkin-Lehner |
2+ 3+ 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710a |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
73150781250 = 2 · 3 · 58 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1588,19942] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:191:1] [9:76:1] |
Generators of the group modulo torsion |
j |
443304823666249/73150781250 |
j-invariant |
L |
5.2440358158296 |
L(r)(E,1)/r! |
Ω |
1.0431698850097 |
Real period |
R |
5.0270199429507 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122130bx2 |
Quadratic twists by: -3 |