Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144be |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
32755555464192 = 210 · 310 · 114 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11+ -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39253,2967611] |
[a1,a2,a3,a4,a6] |
Generators |
[95:324:1] |
Generators of the group modulo torsion |
j |
6532108386304000/31987847133 |
j-invariant |
L |
7.1593363717859 |
L(r)(E,1)/r! |
Ω |
0.66003128052057 |
Real period |
R |
1.0846965262359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144ck1 4884c1 |
Quadratic twists by: -4 8 |