Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19550a |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-665643374888500000 = -1 · 25 · 56 · 17 · 238 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-73217,-39969059] |
[a1,a2,a3,a4,a6] |
Generators |
[4074435570:-1584806160463:27000] |
Generators of the group modulo torsion |
j |
-2778067622280033/42601175992864 |
j-invariant |
L |
3.0687445037217 |
L(r)(E,1)/r! |
Ω |
0.12317036204896 |
Real period |
R |
12.457317055307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
782e4 |
Quadratic twists by: 5 |