Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864bj |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2737152 |
Modular degree for the optimal curve |
Δ |
1079353117572595712 = 221 · 74 · 118 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11195928,-14415285520] |
[a1,a2,a3,a4,a6] |
Generators |
[-160711070214978831364667176368329113226:-1213517215461398368617520824540062754:83372105000337287664852637174083743] |
Generators of the group modulo torsion |
j |
73622481625/512 |
j-invariant |
L |
9.6181276594184 |
L(r)(E,1)/r! |
Ω |
0.082534344886427 |
Real period |
R |
58.267425958573 |
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 |
11858e1 94864cy1 94864bk1 |
Quadratic twists by: -4 -7 -11 |