Atkin-Lehner |
3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
33033w |
Isogeny class |
Conductor |
33033 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
353760 |
Modular degree for the optimal curve |
Δ |
-606714204119882859 = -1 · 32 · 7 · 1110 · 135 |
Discriminant |
Eigenvalues |
0 3- 2 7+ 11- 13- -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,185453,-21374369] |
[a1,a2,a3,a4,a6] |
j |
27195441152/23391459 |
j-invariant |
L |
1.5958073035482 |
L(r)(E,1)/r! |
Ω |
0.15958073035434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99099ba1 33033z1 |
Quadratic twists by: -3 -11 |