Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200be |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-511200000000 = -1 · 211 · 32 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -3 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1208,-38412] |
[a1,a2,a3,a4,a6] |
Generators |
[58:300:1] |
Generators of the group modulo torsion |
j |
-243890/639 |
j-invariant |
L |
4.6286951620217 |
L(r)(E,1)/r! |
Ω |
0.37639875724477 |
Real period |
R |
0.51238824354693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600d1 85200e1 |
Quadratic twists by: -4 5 |