Atkin-Lehner |
2+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35264d |
Isogeny class |
Conductor |
35264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-577007058944 = -1 · 216 · 192 · 293 |
Discriminant |
Eigenvalues |
2+ -1 3 0 -5 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2849,-68063] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1577:1] |
Generators of the group modulo torsion |
j |
-39036741412/8804429 |
j-invariant |
L |
4.7725367577875 |
L(r)(E,1)/r! |
Ω |
0.32285057553805 |
Real period |
R |
3.695623548009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35264bd1 4408b1 |
Quadratic twists by: -4 8 |