Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bh |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
87875994548188000 = 25 · 53 · 7 · 1112 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-705997,-227702139] |
[a1,a2,a3,a4,a6] |
Generators |
[246772:-15045743:64] |
Generators of the group modulo torsion |
j |
175738332394197/396829664 |
j-invariant |
L |
3.6728032537547 |
L(r)(E,1)/r! |
Ω |
0.16472432488902 |
Real period |
R |
11.148332998884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42350cz2 3850ba2 |
Quadratic twists by: 5 -11 |