Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200di |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
492800000000 = 214 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11+ -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3333,-67037] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:25:1] |
Generators of the group modulo torsion |
j |
640000/77 |
j-invariant |
L |
3.1196249461454 |
L(r)(E,1)/r! |
Ω |
0.63326486947563 |
Real period |
R |
1.6420854063355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998224553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200hd1 15400k1 123200d1 |
Quadratic twists by: -4 8 5 |