Atkin-Lehner |
2+ 3- 5- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450bl |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2277720000 = -1 · 26 · 34 · 54 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -3 -1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,149,2198] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:16:1] [7:-64:1] |
Generators of the group modulo torsion |
j |
590997575/3644352 |
j-invariant |
L |
8.4653606305656 |
L(r)(E,1)/r! |
Ω |
1.0560494301893 |
Real period |
R |
0.33400269861356 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105450by1 |
Quadratic twists by: 5 |