Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800l |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
46720000000000000 = 219 · 513 · 73 |
Discriminant |
Eigenvalues |
2+ 3 5+ -1 -5 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3904300,2969342000] |
[a1,a2,a3,a4,a6] |
Generators |
[827640:212500:729] |
Generators of the group modulo torsion |
j |
1606916486137689/11406250 |
j-invariant |
L |
10.854493571519 |
L(r)(E,1)/r! |
Ω |
0.32073472965685 |
Real period |
R |
4.2303235712003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800cf1 3650n1 23360m1 |
Quadratic twists by: -4 8 5 |