Atkin-Lehner |
2+ 3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39672g |
Isogeny class |
Conductor |
39672 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.541755794965E+19 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 -4 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9427107,-11139182530] |
[a1,a2,a3,a4,a6] |
Generators |
[-3857542:-683012:2197] |
Generators of the group modulo torsion |
j |
62058538114103658818/10326617925381 |
j-invariant |
L |
3.7559231246052 |
L(r)(E,1)/r! |
Ω |
0.086160712574592 |
Real period |
R |
7.265343666842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79344i2 13224g2 |
Quadratic twists by: -4 -3 |