Atkin-Lehner |
2- 3+ 7- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
42294t |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
169544520973708272 = 24 · 312 · 7 · 192 · 534 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-258299,-46590055] |
[a1,a2,a3,a4,a6] |
Generators |
[1281:40912:1] |
Generators of the group modulo torsion |
j |
1905864372744587132977/169544520973708272 |
j-invariant |
L |
7.0571614640992 |
L(r)(E,1)/r! |
Ω |
0.21297556073531 |
Real period |
R |
2.0710009635999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882u3 |
Quadratic twists by: -3 |