Atkin-Lehner |
2- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
874f |
Isogeny class |
Conductor |
874 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
484804919296 = 221 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 1 3 2 -3 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7929,-270343] |
[a1,a2,a3,a4,a6] |
j |
55129288688387857/484804919296 |
j-invariant |
L |
3.5434241560057 |
L(r)(E,1)/r! |
Ω |
0.50620345085795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6992j1 27968f1 7866k1 21850c1 |
Quadratic twists by: -4 8 -3 5 |