Atkin-Lehner |
2+ 3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
79344m |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5697183568896 = -1 · 210 · 312 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4029,-59150] |
[a1,a2,a3,a4,a6] |
Generators |
[338:6318:1] |
Generators of the group modulo torsion |
j |
9689202428/7631901 |
j-invariant |
L |
5.3543813231441 |
L(r)(E,1)/r! |
Ω |
0.42253250942718 |
Real period |
R |
3.1680292088761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39672c2 26448h2 |
Quadratic twists by: -4 -3 |