Atkin-Lehner |
2+ 3- 7+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426k |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-269634673504728 = -1 · 23 · 316 · 72 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1953,791221] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-940:1] |
Generators of the group modulo torsion |
j |
-1130389181713/369869236632 |
j-invariant |
L |
2.2859832938901 |
L(r)(E,1)/r! |
Ω |
0.44774574939551 |
Real period |
R |
1.2763846986088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001347 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142s2 |
Quadratic twists by: -3 |