Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616fq |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-25676318240496 = -1 · 24 · 311 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -3 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9849,-448301] |
[a1,a2,a3,a4,a6] |
Generators |
[210:2597:1] [266:3969:1] |
Generators of the group modulo torsion |
j |
-76995328/18711 |
j-invariant |
L |
8.7696508147777 |
L(r)(E,1)/r! |
Ω |
0.23658413630443 |
Real period |
R |
2.3167368044888 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404bc1 25872cz1 11088bt1 |
Quadratic twists by: -4 -3 -7 |