Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
107200f |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-10720000000000 = -1 · 214 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 4 0 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3333,172963] |
[a1,a2,a3,a4,a6] |
Generators |
[-41790:490931:1000] |
Generators of the group modulo torsion |
j |
-25600/67 |
j-invariant |
L |
5.8808762996621 |
L(r)(E,1)/r! |
Ω |
0.63645816748962 |
Real period |
R |
9.240004451416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200cr1 13400n1 107200bl1 |
Quadratic twists by: -4 8 5 |