Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21648bd |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
54504490115530752 = 226 · 3 · 115 · 412 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-189040,-29637676] |
[a1,a2,a3,a4,a6] |
Generators |
[400500:4163878:729] |
Generators of the group modulo torsion |
j |
182400988413112561/13306760282112 |
j-invariant |
L |
3.9219979126712 |
L(r)(E,1)/r! |
Ω |
0.2300151081287 |
Real period |
R |
8.5255223984608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706n1 86592cl1 64944by1 |
Quadratic twists by: -4 8 -3 |