Atkin-Lehner |
2+ 3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350a |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
286591041000000 = 26 · 38 · 56 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17350,-339500] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:766:1] |
Generators of the group modulo torsion |
j |
36969300595297/18341826624 |
j-invariant |
L |
4.0364816111929 |
L(r)(E,1)/r! |
Ω |
0.43778112938841 |
Real period |
R |
2.3050797191921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94050dd2 1254i2 |
Quadratic twists by: -3 5 |