Atkin-Lehner |
2- 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110466bo |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-3650680368 = -1 · 24 · 37 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 0 -1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-410,-4215] |
[a1,a2,a3,a4,a6] |
Generators |
[35:135:1] |
Generators of the group modulo torsion |
j |
-28896625/13872 |
j-invariant |
L |
9.0579316755222 |
L(r)(E,1)/r! |
Ω |
0.5186893575033 |
Real period |
R |
0.54572232917694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36822b1 110466k1 |
Quadratic twists by: -3 -19 |