Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12274l |
Isogeny class |
Conductor |
12274 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1080 |
Modular degree for the optimal curve |
Δ |
-49096 = -1 · 23 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 0 1 4 -2 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8,3] |
[a1,a2,a3,a4,a6] |
Generators |
[3:5:1] |
Generators of the group modulo torsion |
j |
175959/136 |
j-invariant |
L |
7.8228198187881 |
L(r)(E,1)/r! |
Ω |
2.2903282769624 |
Real period |
R |
1.1385296302245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98192j1 110466s1 12274a1 |
Quadratic twists by: -4 -3 -19 |