Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680bj |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-41395200 = -1 · 210 · 3 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,316] |
[a1,a2,a3,a4,a6] |
Generators |
[6:20:1] |
Generators of the group modulo torsion |
j |
-9604/825 |
j-invariant |
L |
4.2218749956942 |
L(r)(E,1)/r! |
Ω |
1.676356589285 |
Real period |
R |
0.62962066401127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360ce1 64680dd1 |
Quadratic twists by: -4 -7 |