Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630cx |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-371035533750000000 = -1 · 27 · 3 · 510 · 76 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7839,-29304759] |
[a1,a2,a3,a4,a6] |
j |
452807907839/3153750000000 |
j-invariant |
L |
3.9055744252143 |
L(r)(E,1)/r! |
Ω |
0.13948480090068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890db2 870f2 |
Quadratic twists by: -3 -7 |