Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200l |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1153852000000 = -1 · 28 · 56 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1892,-40212] |
[a1,a2,a3,a4,a6] |
Generators |
[22:112:1] [43:350:1] |
Generators of the group modulo torsion |
j |
187153328/288463 |
j-invariant |
L |
7.8289568965021 |
L(r)(E,1)/r! |
Ω |
0.45865065363482 |
Real period |
R |
2.8449237760621 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40600a1 3248a1 |
Quadratic twists by: -4 5 |