Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630cj |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-107555490 = -1 · 2 · 32 · 5 · 72 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22296,1272123] |
[a1,a2,a3,a4,a6] |
Generators |
[686:-341:8] |
Generators of the group modulo torsion |
j |
-25015530459696721/2195010 |
j-invariant |
L |
6.0185398888742 |
L(r)(E,1)/r! |
Ω |
1.4399161084042 |
Real period |
R |
2.0898925478185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890de2 42630dd2 |
Quadratic twists by: -3 -7 |