Atkin-Lehner |
2+ 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33350b |
Isogeny class |
Conductor |
33350 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1298304 |
Modular degree for the optimal curve |
Δ |
9.6425720666992E+20 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -3 1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3609651,-2176457802] |
[a1,a2,a3,a4,a6] |
j |
332888778334342425889/61712461226875000 |
j-invariant |
L |
1.5530526629807 |
L(r)(E,1)/r! |
Ω |
0.11093233306995 |
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 |
6670e1 |
Quadratic twists by: 5 |