Atkin-Lehner |
2+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12274i |
Isogeny class |
Conductor |
12274 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4536 |
Modular degree for the optimal curve |
Δ |
-227019904 = -1 · 27 · 173 · 192 |
Discriminant |
Eigenvalues |
2+ -2 -1 0 2 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-464,3870] |
[a1,a2,a3,a4,a6] |
Generators |
[12:2:1] |
Generators of the group modulo torsion |
j |
-30508741009/628864 |
j-invariant |
L |
2.2272729511904 |
L(r)(E,1)/r! |
Ω |
1.7672042121448 |
Real period |
R |
0.42011235145396 |
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 |
98192w1 110466bg1 12274n1 |
Quadratic twists by: -4 -3 -19 |