Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ib |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-843308032000000 = -1 · 216 · 56 · 77 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,-1396863] |
[a1,a2,a3,a4,a6] |
Generators |
[49063023:-2448623296:19683] |
Generators of the group modulo torsion |
j |
-4/7 |
j-invariant |
L |
9.7553494060562 |
L(r)(E,1)/r! |
Ω |
0.22661991383552 |
Real period |
R |
10.761796307179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400cq1 19600w1 3136bb1 11200cq1 |
Quadratic twists by: -4 8 5 -7 |