Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
43350y |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
616896 |
Modular degree for the optimal curve |
Δ |
53573817146880000 = 212 · 3 · 54 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-289150,-58921100] |
[a1,a2,a3,a4,a6] |
Generators |
[-340:650:1] |
Generators of the group modulo torsion |
j |
613231225/12288 |
j-invariant |
L |
2.9478237818116 |
L(r)(E,1)/r! |
Ω |
0.20613296909665 |
Real period |
R |
2.3834322369053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350dg1 43350br1 |
Quadratic twists by: 5 17 |