Atkin-Lehner |
2- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12274n |
Isogeny class |
Conductor |
12274 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
86184 |
Modular degree for the optimal curve |
Δ |
-10680351388215424 = -1 · 27 · 173 · 198 |
Discriminant |
Eigenvalues |
2- 2 -1 0 2 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-167331,-26880703] |
[a1,a2,a3,a4,a6] |
Generators |
[603:9286:1] |
Generators of the group modulo torsion |
j |
-30508741009/628864 |
j-invariant |
L |
9.0527063518474 |
L(r)(E,1)/r! |
Ω |
0.11788137740654 |
Real period |
R |
3.6569071751104 |
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 |
98192u1 110466d1 12274i1 |
Quadratic twists by: -4 -3 -19 |