Atkin-Lehner |
2+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6992c |
Isogeny class |
Conductor |
6992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
894976 = 211 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ -1 3 2 1 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24,16] |
[a1,a2,a3,a4,a6] |
Generators |
[0:4:1] |
Generators of the group modulo torsion |
j |
778034/437 |
j-invariant |
L |
4.2595008291615 |
L(r)(E,1)/r! |
Ω |
2.4200423615603 |
Real period |
R |
0.44002337488167 |
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 |
3496f1 27968bs1 62928f1 |
Quadratic twists by: -4 8 -3 |