Atkin-Lehner |
3+ 5+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
33495c |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-102113694375 = -1 · 3 · 54 · 7 · 11 · 294 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,794,-12406] |
[a1,a2,a3,a4,a6] |
Generators |
[19:90:1] |
Generators of the group modulo torsion |
j |
55354257961631/102113694375 |
j-invariant |
L |
2.3455032658928 |
L(r)(E,1)/r! |
Ω |
0.55600800236491 |
Real period |
R |
2.1092351692031 |
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 |
100485t3 |
Quadratic twists by: -3 |