Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33440o |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-535040 = -1 · 29 · 5 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 11+ 3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67,214] |
[a1,a2,a3,a4,a6] |
Generators |
[5:2:1] |
Generators of the group modulo torsion |
j |
-64964808/1045 |
j-invariant |
L |
3.635566535031 |
L(r)(E,1)/r! |
Ω |
2.9317433826375 |
Real period |
R |
0.62003491788568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33440bb1 66880o1 |
Quadratic twists by: -4 8 |