Atkin-Lehner |
2+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
9350i |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-1486182500 = -1 · 22 · 54 · 112 · 173 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 11+ -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-226,2248] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:61:1] |
Generators of the group modulo torsion |
j |
-2029568425/2377892 |
j-invariant |
L |
3.5021397643816 |
L(r)(E,1)/r! |
Ω |
1.3686731705994 |
Real period |
R |
0.6396961377653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
74800dh1 84150gy1 9350s1 102850cy1 |
Quadratic twists by: -4 -3 5 -11 |