Atkin-Lehner |
3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33759f |
Isogeny class |
Conductor |
33759 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-8585134720173 = -1 · 39 · 114 · 313 |
Discriminant |
Eigenvalues |
1 3+ -2 4 11- -2 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6738,257021] |
[a1,a2,a3,a4,a6] |
j |
-117406179/29791 |
j-invariant |
L |
1.3975676479702 |
L(r)(E,1)/r! |
Ω |
0.69878382398218 |
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 |
33759g1 33759h1 |
Quadratic twists by: -3 -11 |