Atkin-Lehner |
2+ 3- 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
33330b |
Isogeny class |
Conductor |
33330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-83968317891110400 = -1 · 29 · 3 · 52 · 118 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-145844,25560242] |
[a1,a2,a3,a4,a6] |
Generators |
[224562:20346518:27] |
Generators of the group modulo torsion |
j |
-343071888021657930169/83968317891110400 |
j-invariant |
L |
5.2839798394138 |
L(r)(E,1)/r! |
Ω |
0.32529351310546 |
Real period |
R |
8.1218647568 |
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 |
99990x2 |
Quadratic twists by: -3 |