Atkin-Lehner |
2+ 3+ 41+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
17958a |
Isogeny class |
Conductor |
17958 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-148912878668376 = -1 · 23 · 3 · 41 · 736 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2856,-591240] |
[a1,a2,a3,a4,a6] |
Generators |
[277:4330:1] |
Generators of the group modulo torsion |
j |
-2577720940501897/148912878668376 |
j-invariant |
L |
2.9565250376105 |
L(r)(E,1)/r! |
Ω |
0.25430963455414 |
Real period |
R |
5.8128451224311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53874h2 |
Quadratic twists by: -3 |