Atkin-Lehner |
3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33033m |
Isogeny class |
Conductor |
33033 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-20988158282091 = -1 · 38 · 75 · 114 · 13 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 11- 13+ -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1533,-219715] |
[a1,a2,a3,a4,a6] |
Generators |
[213:3118:1] |
Generators of the group modulo torsion |
j |
27195441152/1433519451 |
j-invariant |
L |
1.7409061253191 |
L(r)(E,1)/r! |
Ω |
0.32599043368622 |
Real period |
R |
0.17801198495647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99099bs1 33033f1 |
Quadratic twists by: -3 -11 |