Atkin-Lehner |
2- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11248h |
Isogeny class |
Conductor |
11248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-106541056 = -1 · 212 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 0 -3 -3 1 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16,496] |
[a1,a2,a3,a4,a6] |
Generators |
[9:37:1] |
Generators of the group modulo torsion |
j |
110592/26011 |
j-invariant |
L |
2.8720515063098 |
L(r)(E,1)/r! |
Ω |
1.455754754449 |
Real period |
R |
0.98644757900754 |
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 |
703b1 44992bc1 101232be1 |
Quadratic twists by: -4 8 -3 |