Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462f |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-59696311291405074 = -1 · 2 · 39 · 11 · 1310 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 11+ 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-433770,110695742] |
[a1,a2,a3,a4,a6] |
Generators |
[409:1051:1] |
Generators of the group modulo torsion |
j |
-3326427/22 |
j-invariant |
L |
2.7489999337582 |
L(r)(E,1)/r! |
Ω |
0.35311787330988 |
Real period |
R |
3.8924678436571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33462ca1 33462bz1 |
Quadratic twists by: -3 13 |