Atkin-Lehner |
2- 3- 29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
101616l |
Isogeny class |
Conductor |
101616 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1324800 |
Modular degree for the optimal curve |
Δ |
-386820427162189824 = -1 · 217 · 33 · 295 · 732 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -6 -2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116096,33535668] |
[a1,a2,a3,a4,a6] |
Generators |
[394:7008:1] |
Generators of the group modulo torsion |
j |
-42249276388061569/94438580850144 |
j-invariant |
L |
7.8615557270903 |
L(r)(E,1)/r! |
Ω |
0.26672576342185 |
Real period |
R |
1.2280959191455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12702b1 |
Quadratic twists by: -4 |