Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800cw |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
-45665189856000000 = -1 · 211 · 310 · 56 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-121408,-19297312] |
[a1,a2,a3,a4,a6] |
j |
-6184708364018/1427037183 |
j-invariant |
L |
1.2633378219268 |
L(r)(E,1)/r! |
Ω |
0.1263337829359 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3432a1 |
Quadratic twists by: 5 |