Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200bf |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-85200000000 = -1 · 210 · 3 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 0 -2 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3208,-72412] |
[a1,a2,a3,a4,a6] |
Generators |
[352:6522:1] |
Generators of the group modulo torsion |
j |
-9130660/213 |
j-invariant |
L |
9.9972004561925 |
L(r)(E,1)/r! |
Ω |
0.31673831137317 |
Real period |
R |
5.2604942801815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600e1 85200g1 |
Quadratic twists by: -4 5 |