Atkin-Lehner |
2- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7192a |
Isogeny class |
Conductor |
7192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
774204416 = 210 · 293 · 31 |
Discriminant |
Eigenvalues |
2- 0 3 0 2 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-251,742] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
1707831108/756059 |
j-invariant |
L |
4.7801742396562 |
L(r)(E,1)/r! |
Ω |
1.4346179969608 |
Real period |
R |
1.6660094358857 |
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 |
14384a1 57536m1 64728h1 |
Quadratic twists by: -4 8 -3 |