Atkin-Lehner |
2+ 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960s |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-18095063040 = -1 · 214 · 37 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -5 -4 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,655,-783] |
[a1,a2,a3,a4,a6] |
Generators |
[7:64:1] |
Generators of the group modulo torsion |
j |
1893932336/1104435 |
j-invariant |
L |
3.8636380277213 |
L(r)(E,1)/r! |
Ω |
0.72424504207904 |
Real period |
R |
2.6673555221844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007539 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960dz1 12120n1 |
Quadratic twists by: -4 8 |